Finding Inverse of Exponential and Log

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

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 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

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Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

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

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)

Which equation is the inverse of the equation above?

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ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01