Finding the Inverse of Exponential 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)

To find the inverse of \(f\left(x\right)=3^x+2\) you would first switch the x and y's and get the base alone

A logarithmic function is the inverse of an exponential function.

• True

• False

Logarithmic functions are the inverse of...

• linear Functions

• exponential Functions

• quadratic Functions 

• polynomial Functions 

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Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)

• f ^-1(x) = log_x(5)

• f ^-1(x) = 5^x

• f ^-1(x) = x⁵

Find the inverse of the function.
$y=e^{3x}$

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Find the inverse of the function:
f(x) = 10^3x

• f^-1(x)=log(3x) 

• f^-1(x)=3log(x) 

• f^-1(x)=⅓ log(x)

• f^-1(x)=⅓ ln(x)

Find the inverse of y= 2^x-1+3

• y = log₂(x-3) + 1

• y = (x-3)/2 + 1

• y = log(x-3) + 1

• y = log₂(x-1) + 3