Quiz about Review Solving Exponentials

Question 1

Solve for x:

2^{3x - 1} = 32

Accepted Answer

2

Answer

0

Answer

-1

Answer

5/3

Question 2

Solve: 9^8-x = 27^x-3

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 3

Solve for x:
5^x = 17

Accepted Answer

x = log₅17

Answer

x = log₁₇5

Answer

x = log 5 + log 17

Answer

x = (log 5)/(log 17)

Question 4

Question 4.

Accepted Answer

None of these

Answer

x=3

Answer

x=-3

Answer

x=1/2

Answer

x=-1/3

Question 5

Question 5.

Accepted Answer

2/3

Answer

1

Answer

-9

Answer

All Real Numbers

Question 6

Question 6.

Accepted Answer

-4/3

Answer

4/3

Answer

3/4

Answer

-3/4

Question 7

Question 7.

Accepted Answer

-3/7

Answer

-2

Answer

3/7

Answer

No solution

Question 8

Solve the exponential equation $$5^{x+2} = 125$$ .

Accepted Answer

$$x = 1$$

Answer

$$x = 2$$

Answer

$$x = 3$$

Answer

$$x = 4$$

Question 9

Question 9.

Accepted Answer

None of these

Answer

n=1/3

Answer

n=-1

Answer

n=1/2

Answer

n=2

Question 10

Solve for x.

Accepted Answer

x = 1/3

Answer

x=-1/3

Answer

x = 3

Answer

x = 36

Question 11

Solve the exponential equation:

Accepted Answer

9/4

Answer

-11/4

Answer

6

Answer

8

Question 12

Solve 4^{-2x +5}= 200 tip: use Desmos, parenthesis needed for the exponent, put y=200 on line 2, find the intersection

Accepted Answer

0.589

Answer

0.438

Answer

0.653

Answer

0.792

Question 13

Use a LOG to solve the exponential function.
2^x-1 + 5 = 20

Accepted Answer

x = 4.91

Answer

x = 3.91

Answer

x = -0.46

Answer

x = 5.31

Question 14

2^x - 5 = 12

Accepted Answer

x = 4.1

Answer

x = 8.5

Answer

x = 6.2

Answer

x = 3.9

Question 15

Solve for x:
4²^x+ 1 = 17

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2

Question 16

Change to Logarithmic Form:
5³ = 125

Accepted Answer

log ₅ 125 = 3

Answer

log₃125 = 5

Answer

log ₅ 3 =125

Answer

log₁₂₅ 3 = 5

Question 17

A household appliance loses its value after it is purchased. Its current value, V(t), can be modeled by the function, V(t)= V₀(3/4)^t, where V₀ is the original price, and t is the number of years. How long will it take for a refrigerator initial cost $850 to be worth $65? Round to the nearest year.

Accepted Answer

9 years

Answer

13 years

Answer

8 years

Answer

10 years

Question 18

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 19

The inverse function of an exponential function is known as a...?

Accepted Answer

logarithmic function

Answer

quadratic function

Answer

square root function

Answer

absolute value function

Review Solving Exponentials

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