Inverses of Exponentials

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Find the inverse of y=9^x

• y=log_x9

• y=log₁₀9

• x=log_y9

• y=log₉x

Which equation is the inverse of the equation above?

• 
• 
• 
• 

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)

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

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

• Function
• Not a Function

What is the relationship between
f(x) = log₅(x)
and
g(x) = 5^x?

• No Relationship

• Inverses

• Same Function

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)