Logarithm Change of Base

Pay attention to a and b.

New base c can be whatever you choose.

log₅25 = ?

• 2

• 5

• 125

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

Solve the log using change of base
log₉27

• 3/2

• 2/3

• 3

• 0.5

Approximate its value to the nearest ten-thousandths using change of base formula. log₃7

• 2.7712

• 1.7712

• 2

• 1.7718

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Use the change of base rule to rewrite this problem:

log₆216

• log(6)/log(216)

• log(216)/log(6)

Use the change of base formula to evaluate the logarithm. (Round your answer to four decimal places) \log_635

\log_635

Mathematical Equivalence

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