Steve claims that the points (-4,8) (8,8) and (-4,3) form a right triangle. Yes, Steve is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
As we know the distance between (a, b) and (c, d) is:
distance = √( (a - c)² + (b - d)²)
The distance between (-4, 8) and (8, 8) is:
d₁ = √( (-4 - 8)² + (8- 8)²) = 12
The distance between (8, 8) and (-4, 3) is:
d₂ = √( (8 + 4)² + (8- 3)²) = 13
The distance between (-4, 8) and (-4, 3) is:
d₃ = = √( (-4 + 4)² + (8 - 3)²) = 5
If the Pythagorean theorem is correct, then the square of the larger side must equal the sum of the squares of the two shorter sides, which means that:
5² + 12² = 13²
Solving that we get:
25 + 144 = 169
169 = 169
Thus, Steve claims that the points (-4,8) (8,8) and (-4,3) form a right triangle. Yes, Steve is correct.
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jules burns 100 kcalories during her morning walk. how many additional kcalories is she likely to burn in the post-exercise period?
15 additional kcalories is she likely to burn in the post-exercise period .
What do food calories mean?
When your body digests and absorbs food, calories are the amount of energy that is released. Foods that have more calories might give your body extra energy. Your body stores extra calories as body fat when you consume more calories than you need. Foods might contain a lot of calories even if they are fat-free.Since 1925, this calorie's definition has been based on the joule, and as of 1948, one calorie is roughly equal to 4.2 joules.jules burns 100 kcalories during her morning walk.
15 additional kcalories is she likely to burn in the post-exercise period .
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There are 60 seconds in 1 minute.
Use the drop-down menus to help write the equation that can be used to find the
number of seconds, s, given the number of minutes, m.
Answer: Answer: 1m = 60s, what is the equation?
Step-by-step explanation: 1 minute = 60 seconds so 60s = 1m
in a simple linear regression model (one independent variable), if we change the input variable by 1 unit. how much output variable will change?
In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.
What is linear regression?
According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.
Main Body:
For linear regression
Y=a + bx + error
If we neglect error
then Y=a + bx.
If x increases by 1
then Y = a +b(x+1) which implies
Y=a + bx + b.
So Y increases by its slope.
Hence their is an increase in the slope in y.
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-2/5x-9<9/10
solve and explain/show steps
find the value of the expression of -1/3 - (-5/12)
Answer:
to subtract fractions, find the LCD and then combined
The answer is 1/12.
john is $\frac{3}{4}$ the age of james. three years ago, john was $\frac{5}{7}$ the age of james. how old is james?
James is 24 years old.
Let John's age now is J.
Let james's age now is A.
From the question, we have
John is 3/4 the age of james.
J=3/4*A
J=3A/4
Three years ago, John was 5/7 the age of james.
J-3=5/7*(A-3)
J-3=(5A-15)/7
J=(5A-15)/7+3
3A/4=(5A-15)/7+3
21A=4(5A-15)+84
21A=20A-60+84
A=24
James is 24 years old.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Write the following expression in simplest form.
(4 + 15.6a) − (7 + 3.7a)
Answer:
19.3a - 3
Step-by-step explanation:
(4 + 15.6a) − (7 + 3.7a) =
4 + 15.6a - 7 + 3.7a =
19.3a - 3
Answer:
[tex] \sf \: 11.9a - 3 [/tex]
Step-by-step explanation:
Now we have to,
→ simplify the given expression.
The expression is,
→ (4 + 15.6a) - (7 + 3.7a)
Let's simplify the expression,
→ (4 + 15.6a) - (7 + 3.7a)
→ 4 + 15.6a - 7 - 3.7a
→ (15.6a - 3.7a) + (4 - 7)
→ (11.9a) + (-3)
→ 11.9a - 3
Hence, the answer is 11.9a - 3.
Jada was helping her cousin with his math homework. He was supposed to solve the equation 8 + x = 5. He said, "If I subtract
8 from both sides, I get x = 5-8. This doesn't make sense. You can't subtract a bigger number from a smaller number. If I have
5 grapes, I can't eat 8 of them!"
What do you think Jada could say to her cousin to help him understand why 5-8 actually does make sense?
Jada could say to her cousin that we get a negative value which we is needed to make solution complete.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Jada was helping her cousin with his math homework.
He was supposed to solve the equation 8 + x = 5.
He said, "If I subtract 8 from both sides, I get x = 5-8.
5 grapes, I can't eat 8 of them!" Jada said.
Actually we can subtract 8 from five but we get a negative value.
5-8=-3
It means we should three more apples to eat.
Hence we can subtract 8 from five which makes sense.
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What is an equation of the line that passes through the points (-1, 7)and (1,−3)?
Answer: y = -5x+2
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]
therefore, given those two points,
Slope = [tex]\frac{(-3)-7}{1-(-1)}[/tex]
Slope = [tex]\frac{-10}{2}[/tex]
Slope = -5
Since the m value is the slope, m = -5
In order to find the b value, just substitute the values in the equation with any of the two points given. I'll use (-1,7) but you can use the other one just fine.
let x =1, y = -3
-3=-5(1)+b
-3 = -5+b
-3+5 = b
b = 2
Plug b in the equation:
y=-5x+2
a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material for the base costs $20 per square meter. material for the sides costs $12 per square meter. find the cost (in dollars) of materials for the least expensive such container. (round your answer to the nearest cent.)
245.31 (dollars) is the cost (in dollars) of materials for the least expensive such container.
What is maxima and minima ?Calculus maxima and minima are found using the concept of derivatives. Knowing that the derivative concept gives information about the slope/slope of a function, we find the point where the slope is zero. These points are called inflection points/stationary points. These are the points associated with the maximum or minimum (local) values of the function.
Knowledge of maxima and minima is essential for our everyday problems. In addition, this article also explains how to find the absolute maximum and minimum values.
Solvable maximum and minimum arithmetic problems are discussed in this article.
CalculationSuppose the width is x (m), length of the base is 2x (m), the base area is 2x^2 (m^2).
Since the volume is 10 (m^3), the height has to be 10/2x^2 (m) = 5/x^2.
The cost of making such container is
cost of base: 2x^2*15 = 30x^2
cost of sides: (2*2x*5/x^2 + 2*x*5/x^2)*9 = 270/x
The overall cost is hence the sum of the base and the sides: f(x) = 30x^2 + 270/x
The get the minimum,
df(x)/dx = 30*(2x - 9/x^2) = 0
so x = (9/2)^(1/3) = 1.651 (m)
f(x) = 245.31 (dollars)
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TIMED
Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.
How much more is Addison’s holiday hourly rate than her regular hourly rate?
A$2.00
B$8.50
C$10.50
D$19.00
Option a is correct.
$2 more is Addison’s holiday hourly rate than her regular hourly rate
What are Time and Work?
According to fundamental mathematical concepts, time may be described as the amount of time that a specific activity occurs, whereas work can be described as the collection of actions carried out in order to attain a specific activity or outcome. It should go without saying that time is needed to accomplish a task. It implies that time and work have a certain relationship.
The task completed is calculated as the sum of the number of people participating in the work and the number of days it took to finish. The fundamental time and work equation is W = N X D.
W is the amount of work done.
N is the number of people.
D is the number of days or hours needed.
Let r be the regular rate and h the holiday rate.
Then you can write these two equations:
From the first statement:
188.50 = 5h + 16r
From the second statement:
254.00 = 8h + 20r.
There you have a system of two independent equations with two variables, which you can solve by several methods.
If you multiply the first by 8 and the second by 5, you get:
40h + 128r = 1508
40h + 100r = 1270
Subtract the second equation from the first one:
28r = 238
Divide by 28
r = 238/28 = 8.5
You can use now any of the two original statements to find h
254.00 = 8h + 20r
8h = 254 -20(8.5) = 84
h = 84/8 = 10.5
h - r = 10.50 - 8.50 = 2.00
The holiday hourly rate is $2.00 more than the regular hourly rate.
Hence,
$2 more is Addison’s holiday hourly rate than her regular hourly rate
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Find the slope of the line graphed below.
Answer:
By counting, we see that the point travels down 3, over 6. This is a slope of -3/6. This then simplifies down to -1/2.
The slope is -1/2
What is the solution to |x-9| -3 < 1
PLEASE PLEASE PLEASE
Answer:
[tex]\textsf{Solution}: \quad 5 < x < 13[/tex]
[tex]\textsf{Interval Notation}: (5, 13)[/tex]
Step-by-step explanation:
Given inequality:
[tex]|x-9|-3 < 1[/tex]
To solve an inequality containing an absolute value, isolate the absolute value on one side of the inequality:
[tex]\implies |x-9|-3 +3 < 1+3[/tex]
[tex]\implies |x-9| < 4[/tex]
Apply the absolute rule:
[tex]\textsf{If $|u| < a$\; and\; $a > 0$, \;then \; $-a < u < a$}.[/tex]
[tex]\implies -4 < x-9 < 4[/tex]
[tex]\implies -4 < x-9 \;\; \textsf{and}\;\;x-9 < 4[/tex]
Solve case 1:
[tex]\implies -4 < x-9[/tex]
[tex]\implies x-9 > -4[/tex]
[tex]\implies x-9 +9 > -4+9[/tex]
[tex]\implies x > 5[/tex]
Solve case 2:
[tex]\implies x-9 < 4[/tex]
[tex]\implies x-9+9 < 4+9[/tex]
[tex]\implies x < 13[/tex]
Therefore, x is greater than 5 and smaller than 13.
Merge the overlapping intervals to obtain the solution:
[tex]\boxed{5 < x < 13}[/tex]
find the LCM of 12 and 42
Asap pls.
Answer:
LCM of 12 and 42 is 84. it is correct
A recipe says it produces the best summer drink. The recipe calls for 12 cup of lemonade for every 112 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? use the table to help you find your answer.
A recipe says it produces the best summer drink. The recipe calls for 12 cup of lemonade for every 112 cups of iced tea. If 16 cups of the summer drink are made
then 8 cups of lemonade are needed.
What is unitary method?
It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams.
5 ice-creams cost is $125.
Step 1: Let's find the cost of 1 ice cream.
In order to do that, divide the total cost of ice-creams by the total number of ice-creams.
The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-
creams = 125/5 = 25.
Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams.
The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75.
Finally, we have the cost of 3 ice-creams i.e. $75.
lemonade: tea : total
1 1 1+1=2
We need a total of 16 and divide it
= 16/2 = 8
Then the composition will be
lemonade: tea: total
1*8 = 8 1*8 = 8 2*8 = 16
Hence, 8 cups of lemonade are needed.
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A storage shed is to be built in the shape of a box with a square base. It is to have a volume of cubic feet. The concrete for the base costs $ per square foot, the material for the roof costs $ per square foot, and the material for the sides costs $ per square foot. Find the dimensions of the most economical shed.
A storage shed is to be built in the shape of a box with a square base. It is to have a volume of cubic feet.
The dimensions of the most economical shed are height = 10 ft and side 5 ft
Taken data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out the dimensions of the most economical shed solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
if we differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft
Hence the answer is, the dimensions of the most economical shed are height = 10 ft and side 5 ft
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x+5y-3z=19
2x-3y+4z=-11
4x+y-2z=9
guys i need help with this asap
The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.
Given that,
The equation x+5y-3z=19
2x-3y+4z=-11
4x+y-2z=9
We have to find the x,y ad z values. Its is nothing but the zeros of the polynomial.
Take the equations as,
x+5y-3z=19----->equation(1)
2x-3y+4z=-11----->equation(2)
4x+y-2z=9----->equation(3)
Subtracting equation (2) with 2×equation(1)
(x+5y-3z=19)×2⇒ 2x+10y-6z=38
2x-3y+4z=-11
----------------------------
13y-10z=49----->equation(4)
Now,
Subtracting equation (3) with 2×equation(2)
(2x-3y+4z=-11)×2⇒ 4x-6y+8z=-22
4x+y-2z=9
---------------------------
-7y+10z=-31-------->equation(5)
Now,
Adding equation (4) and equation(5)
13y-10z=49
-7y+10z=-31
-----------------
6y=18
y=18/6
y=3
Now,
Substitute y=3 in equation(5)
-7(3)+10z=-31
-21+10z=-31
10z=-31+21
10z=-10
z=-10/10
z=-1
Now,
Substitute y=3 and z=-1 in equation(1)
x+5y-3z=19
x+5(3)-3(-1)=19
x+15+3=19
x+18=19
x=19-18
x=1
Therefore, The value are x=1,y=3 and z=-1 when the equation are x+5y-3z=19, 2x-3y+4z=-11 and 4x+y-2z=9.
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sarah baked blueberry and chocolate muffins in the ratio of 5:2. she gave 6 blueberry muffins to her brother and now the ration of blueberry to chocolate muffins has changed to 3:2. find how many blueberry muffins she has left.
The number of blueberry muffins she is left with is 9.
What is ratio?The quantitative relation between two amounts, showing the number of times one value contains or is contained within the other.
Given that, Sarah baked blueberry and chocolate muffins in the ratio of 5:2. she gave 6 blueberry muffins to her brother, and now the ratio of blueberry to chocolate muffins has changed to 3:2.
Let the number of muffins before be 5x and after be 3x, then
5x-6 = 3x
2x = 6
x = 3
Therefore, the number of muffins after = 3*3 = 9
Hence, The number of blueberry muffins she is left with is 9.
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find the value of x that will make J||K
Answer:
∴ x = 32
Step-by-step explanation:
For J to be parallel to K,
(2x)° + (4x-12)° = 180°
2x + 4x - 12 = 180
6x = 192
∴ x = 32
50 students were randomly sampled and asked questions about their exercise habits. one of the questions they were asked concerned the frequency of exercise, defined to be the number of times they exercised in a week. this variable would be characterized as which type of random variable?
The random variable used in this situation is discrete random variable.
What is a random variable?
Suppose there is an event and the outcome of an event has to be represented by a variable. That variable is called random variable.
50 students were randomly sampled and asked questions about their exercise habits. one of the questions they were asked concerned the frequency of exercise, defined to be the number of times they exercised in a week
Since there is a notation about frequency in this question, it cannot be continuous. So it is a discrete random variable.
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The volume of a cylinder is V=nr²h. What is r in
terms of h and V? (Solve for r)
The volume of a cylinder in terms of r is √V/πh.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, the volume of a cylinder = πr²h
Solving in terms of r,
r = √V/πh
Hence, The volume of a cylinder in terms of r is √V/πh.
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Tell whether the pair of polygons is similar. Explain why or why not.
The pair of polygons in the diagram are not similar.
What are polygons?
A closed polygonal chain made up of a finite number of straight-line segments is what defines a polygon in geometry. A polygon can be defined as a region that is circumscribed by a bounding circuit, a plane, or both. The edges or sides of a polygon circuit are its segments.
Solution Explained:
Similar polygons have proportional matching sides and all corresponding angles that are congruent.
Since the polygons' side lengths ensure that they are parallelograms, the congruence of just one pair of related angles is sufficient to guarantee the congruence of all the others.
The ratio of side lengths in the left polygon is 13/8, whereas in the right polygon it is 5.2/2.4, which equals 13/6. The matching sides are NOT proportionate since their ratios are different from one another.
Hence, the pair of polygons are not similar.
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1.The equation the quantity of x plus 16 all over 3 = 3x represents when two tutoring services with different rate plans charge the same fees for a session of x hours. Solve for x.
x = −7
x = −13
x = 8
x = 2
Solve the following equation for x to find the total number of people who became members of a social networking site for a certain month:
x = 0.8x + 72
2.How many people became members of the site that month?
112
288
360
432
Solve for x.
3.one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6
x = −49 and x = 41
x = −41 and x = 49
x = −19 and x = 11
x = −11 and x = 19
4.Solve for x: −2(x + 3) = −2x − 6
0
3
All real numbers
No solution
5.Solve for x: three halves plus one half times x equals two x
x equals two thirds
x = 1
x = 2
x = 3
Answer:
1. x = 2
2. x = 360
3. x = -41 and x = 49
4. All real numbers.
5. x = 1
Step-by-step explanation:
Question 1[tex]\begin{aligned}&\textsf{Given}: & \dfrac{x+16}{3}&=3x\\&\textsf{Multiply both sides by 3}: & x+16&=9x\\&\textsf{Subtract $x$ from both sides}: & 16&=8x\\&\textsf{Divide both sides by 8}: & x&=2\end{aligned}[/tex]
Therefore, the solution is x = 2.
Question 2[tex]\begin{aligned}&\textsf{Given}: & x &= 0.8x + 72\\&\textsf{Subtract $0.8x$ from both sides}: & 0.2x&=72\\&\textsf{Divide both sides by 0.2}: & x&=360\end{aligned}[/tex]
Therefore, the solution is x = 360.
Question 3[tex]\begin{aligned}&\textsf{Given}: & \dfrac{1}{5}|x-4|-3&=6\\&\textsf{Add 3 to both sides}: & \dfrac{1}{5}|x-4|&=9\\&\textsf{Multiply both sides by 5}: &|x-4|&=45 \\\end{aligned}[/tex]
Set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, and solve both equations.
[tex]\begin{aligned}\underline{\sf Equation\; 1}&&\underline{\sf Equation\; 2}\\x-4&=45 & x-4&=-45\\x-4+4&=45+4 & \quad \quad \quad x-4+4&=-45+4\\x&=49 & x&=-41\\\end{aligned}[/tex]
Therefore, the solutions are x = -41 and x = 49.
Question 4[tex]\begin{aligned}&\textsf{Given}: & -2(x + 3) &= -2x-6\\&\textsf{Distribute}: &-2x-6&=-2x-6\\&\textsf{Add 6 to both sides}: & -2x&=-2x\\&\textsf{Divide both sides by -2}: & x&=x\end{aligned}[/tex]
Therefore, the solution is all real numbers.
Question 5[tex]\begin{aligned}&\textsf{Given}: & \dfrac{3}{2}+\dfrac{1}{2}x & = 2x\\&\textsf{Subtract $\dfrac{1}{2}x$ from both sides}: & \dfrac{3}{2}&=\dfrac{3}{2}x\\&\textsf{Multiply both sides by 2}: & 3&=3x\\&\textsf{Divide both sides by 3}: & 1&=x\end{aligned}[/tex]
Therefore, the solution is x = 1.
16 students want lemonade and 32 students want iced tea. What is the ratio of the number of students who want lemonade to the total number of students?
Answer:
16:48 or 16 to 48 or 16 / 48
Step-by-step explanation:
figure out how many students want lemonade Figure out what the total number of students there are Use a colon the word to or make it a fractionAnswer:
16:48
Step-by-step explanation:
16 is the total amount of students who want lemonade.
You add 16 with 32 to get 48 students in total.
So the ratio is 16:48.
Pre-image ABCD is dilated to be image A′B′C′D′ . The origin is the center of dilation. What scale factor is used to create the dilation? Enter your answer in the box. coordinate plane with two squares. square abcd has vertices a at (1, 2), b at (2, 2), c at (2, 1), and d at (1, 1). square a prime b prime c prime d prime has vertices a prime at (3, 6), b prime at (6, 6), c prime at (6, 3), and d prime at (3, 3).
Answer:
The scale factor is 3
Step-by-step explanation:
exercise statement: the initial pressures for bicycle tires when first filled are normally distributed, with a mean of 70 pounds per square inch (psi) and a standard deviation of 1.2 psi. a random sample of 15 tires is drawn from this population. what is the probability that the mean tire pressure of the sample is less than 69 psi? use minitab how-to
Answer:
Below
Step-by-step explanation:
70 - 69 = 1
1/1.2 is .83 S.D. below the mean for a z-score = -.83
from a z-score table this corresponds to .2033 or 20.33%
A parabola can be drawn given a focus of (7,3) and a directrix of y = 5. What can be
said about the parabola?
The parabola has a vertex at
), has a p-value of and it [
A parabola that have a focus of (7,3) and a directrix of y = 5 has these attributes
The parabola is a vertical parabola and facing down
the vertex of the parabular is v(7, 4)
p value of the parabola = -1
How to describe parabola with focus of (7,3) and a directrix of y = 5A parabola refers to shape that traces equation of the form
ax² + bx + c
The directrix of a parabola refers to a vertical or horizontal line that never touches the parabola and at distance p to the vertex of the parabola., and 2p to the focus of the parabola.
when the directrix is on the y coordinate, the parabola formed is a vertical parabola.
If the value of the directrix is more than the corresponding focus or vertex there will be negative p and the parabola will face downward.
conversely, If the value of the directrix is less than the corresponding focus or vertex there will be positive p and the parabola will face up.
from definition of the directrix we calculate for p
2p = y coordinate of focus - equation of directrix
2p = 3 - 5
2p = -2
p = -1
vertex, v(h, k) compared with f(h, k + p)
h + p = 3
h = 4
therefore vertex is (7, 4)
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the slope of the curve y= 3x²-8/5-2x at the point (2,4).
pls answer this
Answer: y=3x2
Step-by-step explanation:
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a. In 2001, it has been calculated that the number of enrolled students that the school would have is given as 150.
b. In the academic year 2018, 468 thousand students are anticipated to enroll at the institution abroad.
How to find the population's sizeThe equation that would be used to get the value of the population has been given to us as follows,
y = 123.1(1.069)^x
We are to find x and use it to solve the equation.
X would be used to tell us the number of years that have passed or what lies as the difference.
in which x is the number of years that have changed.
x = 2001 - 1998 = 3
We have to input the value of x to get the value of y
y = 123.1(1.069)³
This gives us y = 150.4
Hence 150 students would be enrolled.
b. We have to solve for the year 2018
Similarly, the difference between these years is given as:
x = 2018 - 1998 = 20
Put the value in the equation
y = 123.1 * (1.069)²⁰
Y is therefore 467.5
y ~ 468 thousand
Hence 468 are enrolled in this year.
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How do you evaluate log6 36?.
After evolution of log_6(36) value obtain is 2..
What is Logarithm?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 103, the logarithm of 1000 in base 10 is 3, or log10 = 3.
Given that;
log6 36
Formula we used to solve this logarithm equation is :
logb(x) = y, if b^y = x
So,
y = log6 36
= log6 62
= 2 log6 6 = 2 x 1
log6 36 = 2
Hence ,the value log6(36) is 2.
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