Given any function, f, the inverse of the function, f -1, is a relation that is formed by interchanging each (x, y) of f to a (y, x) of f -1.

Let f be defined as the set of values given by x-values-2047 y-values Let f -1 be defined as the set of values given by x-values y-values-2047

xy Function 1 Function 2 xy y = x

Let To find the inverse, switch x and y, Solve for y: So the inverse of is

1.Exchange x and y 2.Solve for y. 3.Graph both lines. 4.Graph 5.What does this line represent?

1.Exchange x and y 2.Solve for y. 3.Graph both curves. 4.Graph 5.What does this line represent?

1.Exchange x and y 2.Solve for y. In this case y is the exponent. How could we solve for y. Mathematicians had to come up with a new term to represent the solution of this equation.

Rewrite the following Exponential Equations into Logarithmic Equations EXAMPLE 1 Base Exponent Power (Argument) Base Exponent

Rewrite the following Exponential Equations into Logarithmic Equations EXAMPLE 2 Base Exponent Power (Argument) Base Exponent

Rewrite the following Logarithmic Equations into Exponential Equations EXAMPLE 3 Base Exponent Power (Argument) Base Exponent

Rewrite the following Logarithmic Equations into Exponential Equations EXAMPLE 4 Base Exponent Power (Argument) Base Exponent