8.6 Solving Exponential and Logarithmic Equations Goal: Solve exponential and logarithmic equations. Correct WS 8.5A.

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Presentation transcript:

8.6 Solving Exponential and Logarithmic Equations Goal: Solve exponential and logarithmic equations. Correct WS 8.5A

Warm-up Solve: Write in logarithmic form.

Solving exponential equations Equal Powers Property Example

Solve:

Take a common logarithm of each side. Sometimes you may not be able to write each side of an exponential equation using the same base. In that case, take the common logarithm of each side. Solve: 5 x =14

Example

Equal Logarithms Property

Example Solve: Check: Since you cannot take the log of a number that is less than or equal to 0, the solution is extraneous. Therefore there is NO SOLUTION.

Write the equation in exponential form: Solve: Check: It works!

Solve: Check: Both solutions work.

Assignment: Chapter 8 Review game at