Inverses of Exponential Functions

Find the inverse of y = 5^x - 8

• y=log₅(x-8)

• y=log₅(x+8)

• y=log₅x-8

• y=log₅x+8

Which equation is the inverse of the equation above?

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Find the inverse of the equation

• 2^(x-9)+5=y

• 2^(x+9)-5=y

• 2^(x-9)-5=y

• Answer not shown

Find the inverse of
f(x) = 3^x-1 + 9

• log₃(x-9) = f^-1(x)
  

• log₃(x)-8 = f^-1(x)

• log₃(x-9)+1 = f^-1(x)

• log₃(x+9) -1 = f^-1(x)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

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)

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

Which equation is the inverse of the equation above?

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

• True

• False

Which equation is the inverse of the equation above?

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