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Laws (Properties) of Logarithms
Section 3.3
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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.
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Vocabulary product rule: multiplication becomes addition
quotient rule: division becomes subtraction power rule: exponent becomes multiplier
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Laws of Logarithms product rule - multiplication becomes addition
quotient rule - division becomes subtraction power rule - exponent becomes multiplier
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Change of Base Formula
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Use the Laws of Logarithms to rewrite the expression in a form with no logarithm of a product, quotient or power.
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Use the Laws of Logarithms to rewrite the expression in a form with no logarithm of a product, quotient or power.
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Rewrite the expression as a single logarithm.
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Rewrite the expression as a single logarithm.
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Evaluate the expression without using the Change of Base Formula.
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Evaluate the expression using the Change of Base Formula
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