Evaluating Logarithms Change of Base

log₄ x = 3

• 4

• 12

• 32

• 64

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2

• log ₂ 81 = 9

• log ₉ 2 = 81

• log ₂ 9 = 81

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5

• log ₅ 1024 = 4

• log ₄ 5 = 1024

• log ₅ 4 = 1024

The common logarithm has what base?

• 10

• 0

• e

• -e

log ₂₅ (1/125)

• -1/5

• 5

• -3/2

• 2/3

log₆(¹/₂₁₆)

• 3

• ¹/₃

• -¹/₃

• -3

Evaluate
log₆ (1/6)

• - 1/6

• 1/6

• -1

• 1

Evaluate the following logarithm:

log₃(¹/₃)

• -2

• -¹/₂

• -1

• ¹/₂