1. Solving Exponential and Logarithmic Equations

2. Warm Up
Exponents Become Coefficients Rule Rewrite the following without exponents 1. log32 2. ln x4 3. log5x 4. ln 6(x + 3)

3. Exponential Equation with Common Base
Solve Change to like bases…

4. Try This
1. 23x = 4x+ 1
2. 35x+1 = 81
x = 64
4. 43x = 8x+1

5. Exponential Equation with Different Bases
Solve Take the log or ln of both sides…

6. Try This
1. 92x = 66
x = 1023
x+1 = 144
4. e3x = 77.2

7. Logarithmic Equations
Solve Write in exponential form…

8. Logarithmic Equations
Solve Write in exponential form…

9. Try This
Solve log x = log x = log3 (2x – 5) = ln x2 = 6