Rewriting Logs

Rewrite 3⁴ = 81 in logarithmic form.

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

Rewrite in exponential form.

• A
• B
• C
• D

Rewrite in exponential form.

• A
• B
• C
• D

Rewrite the equation in logarithmic form.

• A
• B
• C
• D

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite the exponential equation. $4^3=64$  

•  $\log_364=4$  

•  $\log_464=3$  

•  $\log_34=64$  

•  $\log_43=64$  

Rewrite the exponential equation.  $3^2=9$  

•  $\log_39=2$  

•  $\log_92=3$  

•  $\log_29=3$  

•  $\log_32=9$  

Rewrite the logarithmic equation.  $\log_381=4$  

•  $81^3=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $3^{81}=4$  

 $\log_3\left(\frac{1}{81}\right)=-4$  Rewrite the logarithmic equation.

•  $\frac{1}{81}=3^{-4}$  

•  $81=3^{\frac{1}{4}}$  

•  $4^3=\frac{1}{81}$  

•  $3^{\frac{1}{81}}=4$  

 $2^5=32$  Rewrite the exponential equation.

•  $\log_532=2$  

•  $\log_232=5$  

•  $\log_25=32$  

•  $\log_{32}5=2$