1. Solving Logarithmic Equations
Section 3.4C
Solving Logarithmic Equations
Strategies for Solving Logarithmic Equations
- Rewrite the logarithmic equation in exponential form.
Ex 10: Prove the change of base theorem.

2. Ex 11: Solve by graphing: ln x = x2 – 2.
Ex 12: You have deposited $500 in an account that pays 6.75% interest, compounded continuously. How long will it take your money to double?
x ≈ 0.138
x ≈ 1.564
10.27 years

3. Ex 13: For selected years from 1980 to 2000, the
Ex 13: For selected years from 1980 to 2000, the average salary y (in thousands of dollars) for public school teachers for the year t can be modeled by the equation y = – ln t, for 10 ≤ t ≤ 30 where t = 10 represents 1980.
During which year did the average salary for public school teachers reach $40.0 thousand?
1998

4. Suggested Assignment:
S 3.4C pg #97 – 102, 111 – 116