To Solve a Logarithmic Equation:

I. Use the 1-1 property of Logarithms if both sides of the equation are logarithms that

have the same base (or if you can use the properties of logarithms to rewrite the

equation so that both sides are logarithms with the same base).

1. If both sides of the equation are logarithms that have the same base (or if you can use

the properties of logarithms to rewrite the equation so that both sides are logarithms with the same base), then to solve the logarithmic equation set the “number parts” of both side equal.

Example:

II. If the equation is in the form of (in words:)

(for example: ), or the equation can be rewritten to be in that form by using the properties of logarithms, then change the equation from logarithmic form to exponential form. Then solve for the variable.

Example: