Unit 7.4 C HW: Inverse Properties of Logarithms

Logarithms are the inverse of ___________.

• Trees
• Quadratics
• Square
• Exponential

Tags

CCSS.HSF.BF.B.5

Find the inverse of  $y=9^x$  

•  $y=\log_x9$  
  

•  $y=\log_{10}9$  
  

•  $x=\log_y9$  
  

•  $y=\log_9x$  
  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of $y=\ln\left(x+3\right)$  

•  $y=e^x-3$  

•  $y=e^{x-3}$  

•  $y=e^x+3$  

•  $y=e^{x+3}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of: $y=\log_9\left(x\right)+4$  

•  $y=9^x+4$  

•  $y=9^x-4$  

•  $y=9^{\left(x-4\right)}$  

•  $y=9^{\left(x+4\right)}$  

Tags

CCSS.HSF-BF.B.4A

Simplify the expression: $6^{\log_63x}$  

•  $3x$  

•  $-3x$  

•  $6x$  

•  $-6x$  

Simplify: $e^{\ln40\ }$  

• 40

• -40

• e

• ln

Tags

CCSS.HSF.BF.B.5

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

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