Exponential and Logarithmic Functions as Inverses

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

•  $f^{-1}\left(x\right)=\log_x6$  

•  $f^{-1}\left(x\right)=\log_6x$  

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

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

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF-BF.B.4A

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

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

•  $f^{-1}\left(x\right)=\log_{5x}$  

•  $f^{-1}\left(x\right)=5\log x$  

•  $f^{-1}\left(x\right)=\log5x$  

Tags

CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

• the x-axis

• the y-axis

• y=x

• y=-x

Tags

CCSS.HSF-BF.B.4B