Exponential and Logarithmic Functions

The inverse of a linear function

Always a linear function

The inverse of a quadratic function

Always a square root function

The inverse of a cubic function

Always a cube root function

Step #1 of Finding the Inverse from an Equation

Change to f(x) to a y

Step #2 of Finding the Inverse from an Equation

Switch the x and y

Step #3 of Finding the Inverse from an Equation

Solve for y

Step #4 of Finding the Inverse from an Equation

Use the notation f^-1(x) to represent the inverse

Product Rule

logb (m*n) = logb m + logb n

Quotient Rule

logb (m/n) = logb m- logb n

Power Rule

logb m^n = n logb m

Change of Base Formula

logbA=logcA/logcb

Logarithmic Form to Exponential Form

logb a = x -----> b^x = a