Inverse of an Exponential and Logarithmic Functions

A logarithmic function is the inverse of an exponential function.

• True

• False

Tags

CCSS.HSF.BF.B.3

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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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

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

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Tags

CCSS.HSF.BF.B.5

• F
• G
• H
• J