Inverses of Exponential and Log Functions

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Tags

CCSS.HSF.BF.B.5

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CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

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CCSS.HSF-IF.C.7E

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

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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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

A logarithmic function is the inverse of an exponential function. (a)  

• True

• False

Tags

CCSS.HSF.BF.B.3

What is the base?

• 1

• 5

• 10

• 3

Tags

CCSS.HSF.BF.B.5