Inverse of Exponential Function

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

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Tags

CCSS.HSF-BF.B.4A

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Tags

CCSS.HSF-BF.B.4A

Logarithmic functions are the inverse of...

• Natural Log Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

Maya and Jackson are having a debate. Maya says a logarithmic function is the inverse of an exponential function, while Jackson disagrees. Who is correct?

• Maya

• Jackson

Tags

CCSS.HSF-BF.B.4A

What is the inverse of f(x)=5^x+3?

• f^-1(x)=log₃(x-5)

• f^-1(x)=log₅(x)-3

• f^-1(x)=log₅(x-3)

• f^-1(x)=log₅(x+3)

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