logs to exp

log₃81

• 2
• 3
• 4
• 5

log₄1

• 0
• 1
• 4
• DNE

• 1/2

• √2

• 2

• -2

log₆6

• -1
• 0
• 2
• 1

• 0

• -1

• -3

• 3

Rewrite log_pt = m in exponential form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Change to Logarithmic Form:
5³ = 125

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

Rewrite in logarithmic form. 7⁰=1

• log₀7=1
• log₇0=1
• log₇1=0
• log₁7=0

Use the change of base rule to rewrite this problem:

log₆216

• log(6)/log(216)

• log(216)/log(6)