Converting Exp/Log and Change of Base

Rewrite in exponential form. $\log_{6\ }t=m$  

•  $m^t=6$  

•  $t^m=6$  

•  $6^t=m$  

•  $6^m=t$  

Rewrite the equation into logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Write in exponential form.
log₂32 = 5

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

Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

Rewrite 3⁴ = 81 in logarithmic form.

• log₃ 4 = 81

• log₈₁ 3 = 4

• log₃ 81 = 4

• log₄ 81 = 3

Change to Exponential Form:

log₆ 36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Write in logarithm form
 $6^{-3}=\frac{1}{216}$  

•  $\log_6\ -3=\frac{1}{216}$  

•  $\log_{-3}\ 6=\frac{1}{216}$  

•  $\log_6\ \frac{1}{216}=-3$  

•  $\log_{\frac{1}{216}}\ 6=-3$ 

Rewrite log_v n = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

Evaluate log₄ 1=?

• 1

• 0

• 4

• undefined

rewrite into logarithmic form 10⁴ = 10,000

• log 4 = 10,000

• log₄ 10,000 = 10

• log_10,000 4 = 10

• log 10,000 = 4