Quiz about Topic 2b AP Precalculus AB Exponential and Logarithmic Graphs

Question 1

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 2

Write in logarithmic form.
5² = 25

Accepted Answer

log₅25 = 2

Answer

log₅2 = 25

Answer

log₂25 = 5

Answer

log₂₅5 = 2

Question 3

Write in exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 4

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 5

Find the value for x to the third decimal place: 10^x =20

Accepted Answer

1.301

Answer

2

Answer

0.5

Answer

No Correct Answer

Question 6

log41 =

Accepted Answer

0

Answer

1

Answer

4

Answer

DNE

Question 7

Rewrite log_pt = m in exponential form.

Accepted Answer

pm = t

Answer

pt = m

Answer

tm = p

Answer

mt = p

Question 8

Expand

Accepted Answer

6log₈u-2log₈v

Answer

6log₈v-2log₈u

Answer

3log₈u-2log₈v

Answer

6log₈u+2log₈v

Question 9

Solve

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

Accepted Answer

$2708.63

Answer

$2201.25

Answer

$2694.55

Answer

$2707.45

Question 11

Use multiple log properties to write as a single log:
3log₂x - log₂y + log₂z

Accepted Answer

log₂(x³z/y)

Answer

log₂(x/(yz))

Answer

log₂(x³yz)

Answer

log₂(x³/(yz))

Question 12

Expand completely: log(2x⁵)

Accepted Answer

log 2 + 5log x

Answer

5log 2 + 5log x

Answer

5log 2 + log x

Answer

log 10 + log x

Question 13

Question 13.

Accepted Answer

F

Answer

G

Answer

H

Answer

J

Question 14

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 15

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

Accepted Answer

5

Answer

-5

Answer

1/5

Answer

-1/5

Question 16

Evaluate log₅20 to the third decimal place

Accepted Answer

1.861

Answer

0.537

Answer

2.996

Answer

1.301

Question 17

Solve for x.
e^x+6 + 5 = 1

Accepted Answer

No Solution

Answer

-4.614

Answer

-4.236

Answer

-0.334

Question 18

A sum of $1000 is invested at an interest rate of 12% per year. Find the amount of in the account after 3 years if interest is compounded daily.

Accepted Answer

$1433.24

Answer

$1404.93

Answer

$1425.76

Answer

$1430.77

Question 19

Evaluate: log ₄ 17

Accepted Answer

2.04

Answer

2.00

Answer

2.12

Answer

2.43

Question 20

Radium-221 has a half-life of 30 seconds. How long will it take for 95% of a sample to decay? Round to the nearest second.

Accepted Answer

130 seconds

Answer

120 seconds

Answer

150 seconds

Answer

140 seconds

Question 21

Solve the exponential equation algebraically. (Round to three decimal places)
14e^3x+2=560

Accepted Answer

0.563

Answer

3.689

Answer

1.442

Answer

1.896

Question 22

Solve the exponential equation algebraically. (Round to three decimal places)
log₁₀x-log₁₀(8-5x)=2

Accepted Answer

1.597

Answer

1.584

Answer

1.2

Answer

2.5

Question 23

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -1

Answer

No Solution

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