Download Solving Exponential Equations Method #1: Solve by Equating

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Solving Exponential Equations
Method #1: Solve by Equating Exponents
*Rewrite both sides of equation using the same base.
*Remember your power property of exponents.
*Note: This method DOES NOT always work!
Examples: Solve each equation.
1. 24x = 32x – 1
2. 92x = 813x – 2
Method #2: Solve using Logarithms
*Use Power Property of Logarithms.
*Note: This method will ALWAYS work.
Examples: Solve each equation.
1. 4x = 15
2. 40e0.6x + 9 = 249
Solving Logarithmic Equations
Tips to solve logarithmic equations:
*Re-write in exponential form.
*Condense using product or quotient property.
Note: You must check for extraneous solutions because the log of a
negative number is not possible.
Examples: Solve each equation. Check for extraneous solutions.
1. log4 (x + 3) = log4 (8x + 17)
2. 7 + log3 x = 15
3. log4 (x – 4) = 2
4. log2 x + log2 (x – 7) = 3
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