1. Solving Logarithmic Equations
Chapter 8.6

2. log with same base on both sides
Use this property for logarithms with the same base:
logb x = logb y
if and only if
x = y

3. log with same base on both sides
Solve log3 (5x – 1) = log3 (x + 7)
Property states that numbers must be equal  log3 (5x – 1) = log3 (x + 7)
then, just solve for x
5x – 1 = x + 7 -x +1 -x +1
4x = 8
x = 2

4. log on just one side Solve by Exponentiating
Solve log5 (3x + 1) = 2
5log5 (3x + 1) = 52
Expressions become exponents, use the base given with the logarithm
3x + 1 = 25
2. Solve for x -1 -1
3x = 24
x = 8