# Expanding a Difference of Logarithms

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Taught by mrbrianmclogan
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Lesson Summary:

In this lesson, we learn how to expand a logarithm as a difference of multiple logarithms. By using the properties of logarithms, we can rewrite a logarithm with a division as a difference of logarithms. This also applies if there is a variable in the denominator, which can be brought up to the numerator with a negative exponent. By following these steps, we can simplify logarithms and make them easier to work with.

Lesson Description:

Expanding a logarithm as a difference of multiple logarithms

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Questions answered by this video:
• log (16/x)base 2 =
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