Math 3C: Unit 15/16 Review

Rewrite the logarithmic equation in exponential form:  $\log_232=5$  

•  $2^5=32$  

•  $5^2=32$  

•  $2^{32}=5$  

•  $32^5=2$  

Rewrite the logarithmic equation in exponential form:  $\log_381=4$  

•  $3^4=81$  

•  $4^3=81$  

•  $3^{81}=4$  

•  $81^4=3$  

Rewrite the logarithmic equation in exponential form:  $\log_{11}1=0$  

•  $11^0=1$  

•  $0^{11}=1$  

•  $11^1=0$  

•  $1^0=11$  

Rewrite the logarithmic equation in exponential form:  $\log_{25}\left(\frac{1}{5}\right)=\frac{-1}{2}$  

•  $25^{\frac{-1}{2}}=\frac{1}{5}$  

•  $\left(\frac{-1}{2}\right)^{25}=\frac{1}{5}$  

•  $25^{\frac{1}{5}}=\frac{-1}{2}$  

•  $\left(\frac{1}{5}\right)^{\frac{-1}{2}}=25$  

Rewrite the exponential equation in logarithmic form:
 $6^2=36$  

•  $\log_636=2$  

•  $\log_236=6$  

•  $\log_{36}2=6$  

•  $\log_62=36$  

Rewrite the exponential equation in logarithmic form:
 $12^0=1$  

•  $\log_{12}1=0$  

•  $\log_01=12$  

•  $\log_10=12$  

•  $\log_{12}0=1$  

Rewrite the exponential equation in logarithmic form:
 $\left(\frac{1}{2}\right)^{-3}=8$  

•  $\log_{\frac{1}{2}}8=-3$  

•  $\log_{\left(-3\right)}8=\frac{1}{2}$  

•  $\log_8\left(-3\right)=\frac{1}{2}$  

•  $\log_{\frac{1}{2}}\left(-3\right)=8$  

Rewrite the exponential equation in logarithmic form:
 $\left(4\right)^{-3}=\frac{1}{64}$  

•  $\log_4\left(\frac{1}{64}\right)=-3$  

•  $\log_{\left(-3\right)}\left(\frac{1}{64}\right)=4$  

•  $\log_{\frac{1}{64}}\left(-3\right)=4$  

•  $\log_4\left(-3\right)=\frac{1}{64}$  

Evaluate the logarithmic expression without using a calculator:
 $\log_525$  

• 2

• -2

• 1

• 0

Evaluate the logarithmic expression without using a calculator:
 $\log_464$  

• 3

• 4

• 16

• 60