Inverse of Exponential Functions

Find the inverse of  $f\left(x\right)=6^x$  .

•  $f'\left(x\right)=\log_x6$  

•  $f'\left(x\right)=\log_6x$  

•  $f'\left(x\right)=\log_{6x}$  

•  $f'\left(x\right)=\log\ \left(6+x\right)$  

A logarithmic function is the inverse of an exponential function.

• True

• False

Tags

CCSS.HSF.BF.B.3

The inverse of an exponential function is its reflection across the x-axis.

• True

• False

Find the inverse function of  $f\left(x\right)=5^x$  

•  $f'\left(x\right)\ =\ \log_5x$  

•  $f'\left(x\right)=\log_{5x}$  

•  $f'\left(x\right)=5\log x$  

•  $f'\left(x\right)=\log5x$  

Find the inverse of  $f\left(x\right)=4^x$  

•  $f'\left(x\right)=\log4_{ }^x$  

•  $f'\left(x\right)=4\log\ x$  

•  $f'\left(x\right)=\log_x4$  

•  $f'\left(x\right)=\log_4x$