Which equation is equivalent to 2^4x = 8^x-3?

Answers

Answer 1

Answer:

x=-3

Step-by-step explanation:

2^4x = 8^x-3

writing 8 as 2^3

2^4x = 2^3^x-3

We know a^b^c = a^(b*c)

2^4x = 2^(2*(x-3))

2^4x = 2^(2x-6)

The bases are the same so the exponents are the same

4x = 2x-6

Subtract 2x from each side

4x-2x= 2x-6-2x

2x=- 6

Divide by 2

2x/2 = -6/2

x = -3


Related Questions

how many integers between 17 and 2678 are multiples of 11

Answers

Answer:

242 integers

Step-by-step explanation:

We have to find the number of integers between 17 and 2678 which are the multiple of 11.

Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]

Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22

Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]

Largest multiple of 11 which is less than 2678 = 443rd multiple

                                                                            = 243 × 11

                                                                            = 2673

Therefore, number of integers between 17 and 2678 multiple of 11

= 243 - 2 + 1

= 242 integers

if my final exam is worth 60 points, and i get an 80%, how many questions did i get right?

Answers

Answer:

48

Step-by-step explanation:

Total points = 60

% = 80%

Therefore no. of points right = 80/100×60 = 48

Two times a number plus four is 22. What is the number?

Answers

Answer:

9

Step-by-step explanation:

2n+4=22

2n=18

n=9

Consider the equations of the two lines below:
Line A:
y=-3x - 7
Line B: y = x - 4
Are the lines Parallel, Perpendicular or Neither? Explain.

Answers

Answer:

Neither, they have a solution

Step-by-step explanation:

Use a sheet of graphing paper and graph the equation using the y-intercept and slope.

HELP!!
Solve for x in the figure below!

Answers

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

Convert -3(x+2)^2-10 into standard form.

Please help me

Answers

Answer:

Step-by-step explanation:

Ten Points For First To Answer Correctly

34 of your books are fiction. 23 of those are historical fiction.

What fraction of your books is historical fiction?

A. 3/12

B. 1/12

C. 5/7

D. 1/2


Answers

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

Write the slope-intercept form of the equation. 2y+5x=–1

Answers

Answer:

y=-5/2x-1/2

Step-by-step explanation:

HOPE THIS HELPS:)

STAY SAFE:)

HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?

1. f(x) is greater than g(x) for all values of x.

2. f(x) and g(x) have the same y-intercept.

3. f(x) and g(x) intersect at two points.

4.f(x) and g(x) have a common x-intercept.

Answers

Answer:  choice 4. f(x) and g(x) have a common x-intercept

===========================================================

Explanation:

For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.

The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.

------------

Side notes:

Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.
The answer is choice 4

(6x⁴+11x²+9)+(3x²-x⁴-8) please help

Answers

Answer:

5x^4+14x^2+1

Step-by-step explanation:

Hope that helps

14. What's 17/12 as a mixed number?
O A.15/12
O B.1 127
O C.1/12
O D.712

Answers

Answer:

A

Step-by-step explanation:

17/12 = 1  5/12

1×12+5=17

What are the solutions of x4 + 6X-6= 10?

Answers

Answer:

x = 1.6

Step-by-step explanation:

4x + 6x - 6 = 10

10x - 6 = 10

      +6    +6

      10x = 16

      10x/10 = 16/10

           x = 1.6

         

what is the sqaure root of 64?

Answers

Answer: 8

Step-by-step explanation:


Please help! Find x, if x^2=2018·2020+1 and x<0.

Answers

Answer:

-2019

Step-by-step explanation:

Well you can calculate it.

2018 * 2020 + 1 = 4076361

Square root is 2019.

Since x is negative, the answer is -2019

X= -2019

What is an equation example?

An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.

What are equations and variables?

A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.

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Which of the following is equivalent to RootIndex 5 StartRoot 13 cubed EndRoot? 132 1315 13 Superscript five-thirds 13 Superscript three-fifths

Answers

The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

What is root index?

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

According to the question,

5 start root 13 cubed end root can be written in root index form.

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

= [tex]13^\frac{3}{5}[/tex].

Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

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Answer: D

Step-by-step explanation:

you're welcome

let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)

Answers

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

How many degrees does the protractor show for the given angle

A. 35
B. 175
C. 175
D. 15

Please help with this I need help with it

Answers

Answer: 15 degrees

Step-by-step explanation:

180 degrees - 165 degrees = 15 degrees

6) Name all factors of x3 – 3x2 – 10x.


A. x

B. x + 5

C. x – 5

D. x + 2

E. x – 2

F. 2

G. 5

H. None of the above


its not on edg

Answers

Answer:

A. x

C. x – 5

D. x + 2

Step-by-step explanation:

From the question above, we are asked to find the factors of an algebraic expression that is given as:

x³ - 3x² - 10x

We would use the step of factorisation

Step 1

x(x² - 3x- 10)

The first factor of the algebraic expression has been obtained = x

Step 2

We factorise x² - 3x - 10

x² +2x - 5x - 10

(x²+2x) - (5x - 10)

x(x + 2) -5(x + 2)

(x + 2)(x - 5)

Step 3

x³ - 3x² - 10x

x(x² - 3x- 10)

(x)(x + 2)(x - 5)

Therefore, the factors of the algebraic expression are:

(x), (x + 2), (x - 5)

I need help asap. For this one I am not sure if it is correct.

Answers

Yes it is correct!! :)

What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410

Answers

Answer:

SA =64 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

SA = 4 * pi * 4^2

SA =64 pi

SA =200.96

someone help me with this !!!

Answers

Answer:

150°

Step-by-step explanation:

to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n

N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12

I= (12-2)×180/12 which simplifies to 10×180/12

10×180= 1800

1800/12 = 150

so, an individual interior angle of a dodecagon is 150°

what that answer to 21×-5​

Answers

Answer: -105

Step-by-step explanation:

21 times -5 will be -105

Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfast

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4​

Answers

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

Which ordered pair is a solution of this
equation?
9x - y = -7
Click on the correct answer.
(-2,-2)
(2,2)
(-2,-1)
(-1,-2)

Answers

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:

Answers

The answer is quite simple really. Min: 3

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

What is box and whiskers plot?

Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

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find the sum -1/3+(-5/9)

Answers

Answer:

-8/9

Step-by-step explanation:

First of all you have to make -1/3 into a fraction that you can add with (-5/9).

-1/3 turns into -3/9.

-3/9 + (-5/9) is -8/9

Answer:

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

We know that,

[tex]( + ) \times ( - ) = ( - )[/tex]

lets solve

[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)

Answers

Answer:

8.25 pounds

Step-by-step explanation:

When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds

Points A B C and D lie on a line consecutively so that AB = BC = CD = 6in. Find the distance between the midpoints of segments AB and CD.

Answers

Answer:

Distance of segments AB and CD = 12

Step-by-step explanation:

AB+BC + CD = 6+6+6 = 18inch

midpoint AB = 6/2 = 3

midpoint CD =6/2 = 3

Midpoint AB+Midpoint CD = 3+3 = 6

To solve we just 18-6 = 12

Distance of segments AB and CD = 12

Answer:

its 12

Step-by-step explanation:

Distance of segments AB and CD = 12

Solve the inequality, then identify the graph of the
solution
-3x-3<_6

Answers

Answer:

First Part is C

The second part is 0,2,4

Step-by-step explanation:

Edge said so

The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is [tex]-3x-3\leq 6[/tex].

The graph below shows the inequality of the expression.

The solution of the expression is

[tex]-3x-3\leq 6[/tex]

⇒ [tex]-3x\leq 6+3[/tex]

⇒ [tex]-3x\leq 9[/tex]

Divide both sides by -3. Then the inequality will also get changed.

⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]

⇒ [tex]x\geq -3[/tex]

Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

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