Inverses of Logarithms and Exponentials

What is the inverse of the following function? 

 $y\ =\ \log\left(-2x\right)$  

•  $f^{-1}\left(x\right)=\frac{10^x}{2}$  

•  $f^{-1}\left(x\right)=10^x$  

•  $f^{-1}\left(x\right)\ =\ -5^x$  

•  $f^{-1}\left(x\right)=\frac{10^x}{-2}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the following function:

 $y\ =\ \log_{\frac{1}{5}}\left(x-4\right)$  

•  $f^{-1}\left(x\right)\ =\ \left(\frac{1}{5}\right)^x-4$  

•  $f^{-1}\left(x\right)\ =\ \left(\frac{1}{5}\right)^x\ +\ 4$  

•  $f^{-1}\left(x\right)\ =\ \left(\frac{1}{5}\right)^x$  

•  $f^{-1}\left(x\right)=\left(x\right)^{\frac{1}{5}}+4$  

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the following equation?

 $y\ =\ \log_2\left(x+5\right)\ -\ 9$  

•  $f^{-1}\left(x\right)\ =\ 2^{x+9}-5$  

•  $f^{-1}\left(x\right)\ =\ 2^{x-9}-5$  

•  $f^{-1}\left(x\right)\ =\ 2^{x+9}+5$  

•  $f^{-1}\left(x\right)\ =\ 2^x+4$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the following equation:

 $y\ =\ -7\log_6\left(-3x\right)$  

•  $f^{-1}\left(x\right)=-2^{-\frac{x}{7}}$ 

•  $f^{-1}\left(x\right)\ =\ -6^{-\frac{x}{7}}$  

•  $f^{-1}\left(x\right)\ =\ \left(-\frac{1}{3}\right)6^{-\frac{x}{7}}$  

•  $f^{-1}\left(x\right)\ =\ 6^{-\frac{x}{7}}+3$  

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the following function?

 $y\ =\ 6^{\frac{x}{4}}$  

•  $f^{-1}\left(x\right)\ =\ \log_6x\ +\ 4$  

•  $f^{-1}\left(x\right)\ =\ \log_6x\ -\ 4$  

•  $f^{-1}\left(x\right)\ =\ \left(\frac{1}{4}\right)\log_6x$  

•  $f^{-1}\left(x\right)\ =\ 4\log_6x$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the following function:

 $y\ =\ 5^x-8$  

•  $f^{-1}\left(x\right)\ =\ \log_5\left(x\right)\ +8$  

•  $f^{-1}\left(x\right)\ =\ \log_5\left(x+8\right)$  

•  $f^{-1}\left(x\right)\ =\ \log_5\left(\frac{x}{8}\right)$  

•  $f^{-1}\left(x\right)\ =\ 8\log_5x$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the following function:

 $y\ =\ 5^{\left(x-7\right)}$  

•  $f^{-1}\left(x\right)\ =\ \log_5x-7$  

•  $f^{-1}\left(x\right)\ =\ \log_5\left(x\right)-7$  

•  $f^{-1}\left(x\right)\ =\ \log_5\left(x\right)+7$  

•  $f^{-1}\left(x\right)\ =\ \log_5x+7$  

Tags

CCSS.HSF-BF.B.4A