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Laws (Properties) of Logarithms

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Presentation on theme: "Laws (Properties) of Logarithms"— Presentation transcript:

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


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