Evaluating and Converting Logs

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

True or False: log₈64=2

• True

• False

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Rewrite in logarithmic form. 9^3/2=27

• log₉27=3/2

• log₉27=2/3

• log_3/29=27

• log₂₇9=3/2

Rewrite in exponential form. log₇(1/49)=-2

• -2⁷=1/49

• 7²=1/49

• 7^-2=1/49

• 7^1/49=-2

Rewrite in logarithmic form. 7⁰=1

• log₀7=1

• log₇0=1

• log₇1=0

• log₁7=0

log₄1 = 

• 0

• 1

• 4

• DNE

Evaluate.
log₆(¹/36)

• 2

• ¹/2

• -¹/2

• -2