Evaluating and Converting Logs

log₃81 = 

• 2
• 3
• 4
• 5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Rewrite log_pt = m in exponential form.

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

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

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

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