Module 1 - LT 7 + 8

What is the inverse to the following equation?

 $\log_381=4$  

•  $3^4=81$  

•  $4^3=81$  

•  $\log_481=3$  

•  $\log81=3^4$  

What is the inverse to the following equation?

 $13^2=169$  

•  $\log_{13}169=2$  

•  $\log_2169=13$  

•  $169=2^{13}$  

•  $\log_2169=\log_{13}2$  

What is the Inverse to the following equation?

 $\left(\frac{1}{3}\right)^x=y$  

•  $\log_{\frac{1}{3}}y=x$  

•  $\log_yx=\frac{1}{3}$  

•  $y=x^{\left(\frac{1}{3}\right)}$  

•  $\log\left(\frac{1}{3}\right)=x^y$  

What is the inverse to the following equation?

 $\log_x\left(\frac{1}{4}\right)=-2$  

•  $x^{-2}=\frac{1}{4}$  

•  $\left(-2\right)^x=\frac{1}{4}$  

•  $\left(\frac{1}{4}\right)^x=-2$  

•  $\log_{\frac{1}{4}}-2=x$