Converting Logarithmic and Exponential Forms

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Rewrite in exponential form: 
2=log₉x

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Rewrite as a log: 5⁴=625

• log₄5=625

• log₅625=4

• 4=log₆₂₅5

• 5=log₄625

log₅25 = ?

• 2

• 5

• 125

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Re-write in log form 2⁶=64

• log₂6=64

• log₂64=6

• log₆₄2=6

• log₆₄6=2

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = 

•  -1

•  1

• 3

•  ⅓

Evaluate the following logarithm by converting to exponential form.
log_⅕125 = 

• 3

•  -3

•  25

•  5

• .98

• 0

• .5

• 1