1. 6.4 Logarithmic & Exponential Equations

2. Ex 1) Find the solution set of
Write left side as a single log
Check in original eqtn.
Can’t have log of neg. #

3. Logarithm Common Log - log with base 10 Natural Log - log with base e
If base is missing, it’s base 10
Natural Log - log with base e

4. Ex 2) Find a 3-digit value for x
Can’t write as same base
→Take the log of both sides
Use properties
Distribute
Get terms with variable on one side
Factor out x
Divide

5. Change of Base Formula So you can use your calculator
Common log or Natural log

6. Examples
Take natural log of both sides
Exact
Round to 3 digits

7. Homework
#605 Pg – 49 odd