1. Laws (Properties) of Logarithms
Section 3.3

2. Objectives
Rewrite (expand) a logarithm to contain no logarithms of products, quotients, or powers.
Rewrite (condense) a logarithmic expression into the logarithm of a single value.
Use the change of base formula to rewrite a logarithm as a common logarithm or a natural logarithm.

3. Vocabulary product rule: multiplication becomes addition
quotient rule: division becomes subtraction
power rule: exponent becomes multiplier

4. Laws of Logarithms product rule - multiplication becomes addition
quotient rule - division becomes subtraction
power rule - exponent becomes multiplier

5. Change of Base Formula

6. Use the Laws of Logarithms  to rewrite the expression in a form with no logarithm of a product, quotient or power.

7. Use the Laws of Logarithms  to rewrite the expression in a form with no logarithm of a product, quotient or power.

8. Rewrite the expression as a single logarithm.

9. Rewrite the expression as a single logarithm.

10. Evaluate the expression without using the Change of Base Formula.

11. Evaluate the expression using the Change of Base Formula