(2/3)^x-1=27/8, Find x. Please show a step-by-step explanation.
NB:x is an exponent.

[tex]( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} [/tex]



Answers

Answer 1

Answer:

x = -2

[tex](2/3)^{(x-1)} = \frac{27}{8}[/tex]  

Step-by-step explanation:

you have to use logs here

[tex]ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\[/tex]

x-1  =ln(27/8)/ ln(2/3)

x -1  = -3

x = -2


Related Questions

Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative

Answers

D probably


brainly!!

I NEED HELP WHAT IS 3 miles 440 yards + 6 miles 880 yards

Answers

(3 miles) + (440 yards) + (6 miles) + (880 yards)

= 9.75 miles

After adding all the given values in, the same unit will be equal to 9.75 miles.

What is Unit conversion?

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.

Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

3 miles + 440 yards + 6 miles + 880 yards

Now, use unit conversion,

1 mile = 1760 yards

440 yards = 0.25 miles and,

880 yards = 0.50 miles

So, total distance is,

3 miles + 0.25 miles + 6 miles + 0.50 miles = 9.75 miles.

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PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do

Answers

Answer:

5x-2x-x = 10 9z • 7p = 378

Step-by-step explanation:

With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.

1. 5x-2x-x

2. (5•5)-(2•5)-(1•5)

3. 25-10-5

4. 10

We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.

1. 9z•7p

2. (9•2) • (7•3)

3. 18 • 21

4. 378

hope this helps :)

What is the common ratio for the geometric sequence?
4/3,4, 12, 36,...
Enter your answer in the box.

Answers

Answer:

3 is the correct answer

u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here

4/(4/3) = 3

also 12/4 = 3

also 36 /12 = 3

hence the common ratio for this GP is 3

hope it helped

Step-by-step explanation:

The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle

Answers

Answer:  16 cm

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

Explanation:

The drawing is shown below.

Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CE

The goal is to find the length of CE based on these facts

BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DE

Notice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.

Focus on triangle CAD. We'll use the pythagorean theorem to find x.

a^2 + b^2 = c^2

(AD)^2 + (DC)^2 = (AC)^2

15^2 + x^2 = 17^2

225 + x^2 = 289

x^2 = 289 - 225

x^2 = 64

x = sqrt(64)

x = 8

Segment CD is 8 cm long, and so is segment DE.

To wrap things up, we then say:

CE = CD + DE

CE = 8 + 8

CE = 16

Chord CE is 16 cm long.

6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?

Answers

Answer:

5

Step-by-step explanation:

just had this question

in this lesson several postulates will help establish a way to draw angles

Answers

Answer:

make 90°angle with the help of compase

Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack

Answers

Answer:

8 pencils

Step-by-step explanation:

if 2 red pencils are 25% of his number of pencils then multiply 2 by 4

because 25x4=100

so 2x4=8

Roman has 8 pencils in his bag

25/100= 1/4
2x4= 8


Roman has 8 pencils

In the equation, y=3x+2, is the point (2,8) a solution the equation?

1: Yes, the point is solution
2: No, the point is not a solution

Answers

Answer:

Given: The equation of the line y = 3x+2

The condition for a point to be on a line is to satisfy its equation

(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation

3 = 3(1/3) + 2

= 1 + 2

= 3

Hence, (1/3, 3) lies on the line

(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation

8 = 3(2) + 2

= 6 + 2

= 8

Hence, (2, 8) lies on the line

(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation

2 = 3(0) + 2 = 2

Hence, (0, 2) lies on the line

(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation

19 = 3(7) + 2

= 21+ 2

= 23 ≠ 19

hence, (7,19) doesn’t lie on the line

• Therefore ,Yes the point is a solution .

Step-by-step explanation:

Hope this helps you XD ✌️Carry on learning !!
Yes, the point is a solution
The point (2,8) means that whenever x=2, the y=8.
If you substitute x=2, then y=3(2)+2=8!

PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST

Answers

Answer:

2q+7r+8

Step-by-step explanation:

(q+3)+(q+2)+(7r+3)

Brainliest is very apprieciated!

AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working

Answers

Answer:

n ≥ 8

Step-by-step explanation:

Let R and E stand for the number of cows owned by Richard and Ellis, respectively.

We are told that:

R = n

E = 4n

Then:

R = n+13   [Bought 13 cows]

and

E = 4n-9  [Sold 9 cows]

Still:

E > R  [Ellis still has more cows]

Therefore:

4n-9 > n+13

3n  > 22

n > 7 1/3

Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number.  The least value of n is therefore 8 cows or higher.  Since 8 is a valid number, change the > inequality to ≥.

n ≥ 8

YURRRRRRRRRRRRRRRR
[tex]4 \div 0.25[/tex]

Answers

Answer:

16

4

[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]

The answer is 16 yourrrrrrrrrrrrrr welcome

Enter the value of 14 + (-22) – 14 – 22.

Answers

Answer:

-44!

Step-by-step explanation:

I’m going to try and explain this the best way possible through a keyboard:

14+(-22)-14-22

I usually work from left to right with these kinda problems, it helps me stay organized.

The rule for adding integers is when the signs are different you always subtract and take the sign of the LARGER number…

With that being said,

14+-22=-8

Then re write the problem

-8-14-22

Subtracting integers with different sign calls for the KCF method (keep the first number the same, change the sign, flip the second number:

Working one step at a time left to right…

-8+-14 (just add normally and keep the sign)

-22-22

Again using the kcf method,

-22+22=

-44

Hope that helps!

does he like me (´༎ຶོρ༎ຶོ`)
yes or no !

Answers

Answer:

no he is dead

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

50% of what number is 60?

Answers

Answer:

50% of 60 is 30

Step-by-step explanation:

Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?

Answers

Answer:

dont mind me just grinding for points

Step-by-step explanation:

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh





25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds


.hope this helps!

A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?

Answers

Answer:

17.25

Step-by-step explanation:

What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?

Answers

If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

A' (4,4)  B' (0,0)  C' (4,0)

Step-by-step explanation:

A (3,2)  B (1,0)  C (3,0)

Translated left 1 unit: A'' (2,2)  B'' (0,0)  C'' (2,0)

dilated about origin (0,0) by scale factor of 2: A' (4,4)  B' (0,0)  C' (4,0)

what is the lowest common denominator for 2/3 and 3/5

Answers

the lowest common denominator is 15

Answer:

15

Step-by-step explanation:

3 times 5 is 15


Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answers

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

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Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.

Answers

Answer: 4.15

Step-by-step explanation:

David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?​

Answers

Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head

Solve geometry perimeter

Answers

7.62

Step-by-step explanation:


Jodie made a New Year's resolution to learn how to play the violin. She bought an
Introduction to Violin class pack from the Noble Notes music shop, which covers the cost of
12 violin lessons. She also paid $25 to rent a violin. In all, Jodie paid $385. How much does
each violin lesson cost?

Answers

Answer:

  $30

Step-by-step explanation:

If x is the cost of a lesson, the total cost of Jodie's purchase is ...

  cost of lessons + rental cost = total cost

  12x + 25 = 385

  12x = 360 . . . . . . . subtract 25

  x = 30 . . . . . . . . . . divide by 12

Each violin lesson costs $30.

Please help with this

Answers

Answer:

the value of ST is 2 of its x is 2

What is the domain of the following function?

Answers

Answer:

third option (-3,3,5,9)

Step-by-step explanation:

domain is the starting point of the set (x coordinate )

Solve the following equations

1. 83x= 1/256
2. 243 3-p= 3 p -3

Answers

Here are ur answer.......

If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?

Answers

Answer:

you would of read 3 pages

Step-by-step explanation:

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