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# 8.6 solving exponential and log equations

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### Transcript of "8.6 solving exponential and log equations"

1. 1. Solving Exponential Equations If two powers with the same base are equal, then their exponents must be equal. To solve using this property:  Rewrite equation so the bases match.  Set exponents equal to each other.  Solve for x.
2. 2. Examples: Solve:
4. 4. Solving by Taking Logs If it is not easy/possible to rewrite using same bases, take the log (with base b) of both sides. Examples:
6. 6. More Examples: Taking Logs Not all equations will be that basic!  Must get the exponential part by itself, first.  Then, take the log of both sides.  Last, continue solving for x. Example:
7. 7. Example: Solve