Rewriting Logarithms as Sums and Differences

Rewriting Logarithms as Sums and Differences
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Learn how to simplify logarithmic expressions and rewrite them in the form of a sum or difference of logarithms without exponents.

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Slide1Section 5.4 – Properties of Logarithms

Slide2Simplify:Simplify: Simplify: Simplify:

Slide3rewrite the following as the sum/difference of logarithms withno exponents

Slide4rewrite the following as the sum/difference of logarithms withno exponents

Slide5rewrite the following as the sum/difference of logarithms withno exponents

Slide6rewrite the following as the sum/difference of logarithms withno exponents

Slide7rewrite the following as the sum/difference of logarithms withno exponents

Slide8rewrite the following as the sum/difference of logarithms withno exponents

Slide9rewrite the following as the sum/difference of logarithms withno exponents

Slide10rewrite the following as the sum/difference of logarithms withno exponents

Slide11rewrite the following as the sum/difference of logarithms withno exponents

Slide12Rewrite the following as a single logarithm:Rewrite the following as a single logarithm: Rewrite the following as a single logarithm:

Slide13Rewrite the following as a single logarithm:Rewrite the following as a single logarithm:

Slide14Rewrite the following as a single logarithm:

Slide15Rewrite the following as a single logarithm:

Slide16Rewrite the following as a single logarithm:Rewrite the following as a single logarithm:

Slide17Rewrite the following as a single logarithm:Rewrite the following as a single logarithm:

Slide18If ln 2 = a  and  ln 3 = b , find the following in terms of a and b: