Evaluating Logarithms Change of Base

• x = 14.7

• x = 13.5

• x = 19.2

• x = 27

Evaluate. Use the change of base formula when necessary. (Round to 4 decimal places)

evaluate log₂ 16

• 8

• 4

• -4

• 2

evaluate log₉ 3

• 2

• -2

• 1/2

• 0

evaluate log₉ 27

• 2

• 3/2

• 2/3

• -3

What can we use when we cannot write the expression using the same base?

Use the change of base theorem to find the logarithm log₃5.

• 3/5

• 5/3

• .6990

• 1.4650

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

• A

• B

• C

• D

log ₃ 9 =

• 1/2

• 2

• 1/3

• 3

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5