Logarithm Function Review

Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.

Which equation could be used to find the value of the account after 3 years?

• A = 5,000(1 + 4)³

• A = 5,000(1 + 0.04)³

• A = 5,000(1 + 0.4) x 3

• A = 5,000(0.04)³

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.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Simplify 7^log₇(2x)

• 0
• 2x
• 2
• 1

Evaluate the following logarithm:

log₁₂1

• 1

• 0

• -1

• ¹/₂

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

Graph

• A

• B

• C

• D

If $1200 is put into an account that earns 3.2% interest compounded continuously, Approximately how long will the account take to have a balance of $7200?

• 56 years

• 59 years

• 62 years

• 67 years

Solve:

log(x) + log(x+3) = 1

• 5

• -2

• -5

• 2