1. Solving Logarithmic Equations

2. One-To-One Property of Logarithms
CONDENSE each logarithm. If an equation contains only two logarithms, on opposite sides of the equal sign, with the same base then the problem can be solved by simply dropping the logarithms.

3. Example 1: Solve the following

4. Example 2: Solve the following

5. Example 3: Solve the following

6. Example 4: Solve the following
Check
Can NOT have a negative number!! The solution is ONLY…

7. Example 5: Solve the following

8. Example 6: Solve the following

9. Example 7: Solve the following
Solving Equations with ONE Logarithm
If an equation contains only one logarithms, rewrite the problem in exponential form.
Example 7: Solve the following

10. Example 8: Solve the following

11. Example 9: Solve the following
Can not have “negative” argument
Check your answers