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

f − 1 ( x ) = log ⁡ 6 x f^{-1}\left(x\right)=\log_6x f − 1 ( x ) = lo g 6 x

f − 1 ( x ) = log ⁡ x 6 f^{-1}\left(x\right)=\log_x6 f − 1 ( x ) = lo g x 6

f − 1 ( x ) = log ⁡ 6 x f^{-1}\left(x\right)=\log_{6x}^{ } f − 1 ( x ) = lo g 6 x

f − 1 ( x ) = log ⁡ ( 6 + x ) f^{-1}\left(x\right)=\log\ \left(6+x\right) f − 1 ( x ) = lo g ( 6 + x )

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

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)\ =\ \log_5x f − 1 ( x ) = lo g 5 x

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)=\log_{5x} f − 1 ( x ) = lo g 5 x

f − 1 ( x ) = 5 log ⁡ x f^{-1}\left(x\right)=5\log x f − 1 ( x ) = 5 lo g x

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)=\log5x f − 1 ( x ) = lo g 5 x

Exponential and Logarithmic Functions as Inverses

Authored by Barbara Wright

Mathematics

9th - 10th Grade

CCSS covered

Used 339+ times

Exponential and Logarithmic Functions as Inverses

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A logarithmic function is the inverse of an exponential function.

True

False

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

True

False

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation is the inverse of the equation above?

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation is the inverse of the equation above?

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation is the inverse of the equation above?

Tags

CCSS.HSF-BF.B.4A

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Exponential and Logarithmic Functions as Inverses

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

A logarithmic function is the inverse of an exponential function.

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

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

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

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

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Discover more resources for Mathematics

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

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

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?