Evaluating Logarithms

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

log₄1 = 

• 0
• 1
• 4
• DNE

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

The common logarithm has what base?

• 10
• 0
• e
• -e

Solve for x:

log_x 25 = 2

• 5

• 25

• 1/5

• -1/5