Laws (Properties) of Logarithms

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Presentation transcript:

Laws (Properties) of Logarithms Section 3.3

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.

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

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

Change of Base Formula

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

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

Rewrite the expression as a single logarithm.

Rewrite the expression as a single logarithm.

Evaluate the expression without using the Change of Base Formula.

Evaluate the expression using the Change of Base Formula