 # Solving Exponential Equations with Different Bases

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Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn how to solve exponential equations with different bases.

Simple Exponential Equations
Steps to solving a simple exponential equation.
Examples:
1. Solve 2x = 9
2. Solve 42x+5 = 4
3. Solve 2 ˙ 32x-5 - 3 = 7
Techniques For Solving Exponential Equations Part 1
This lesson shows how to solve exponential equations when the powers cannot be changed into powers with the same base.
Example:
Solve 53x-5 = 3x-2

Techniques For Solving Exponential Equations Part 2
This lesson shows how to use substitution to solve exponential equations when the powers cannot be changed into powers with the same base.
Examples:
3. Solve 22x - 2x = 12
3. Solve 42x - 5(4x) - 8 = 0

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