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Published byScot Goodwin Modified over 8 years ago

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LAWS OF LOGARITHMS SECTION 5.6

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Why do we need the Laws? To condense and expand logarithms: To Simplify!

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LAWS OF LOGARITHMS When you are adding logs multiply!! When you are subtracting logs divide!! 1. 2.

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LAWS OF LOGARITHMS 3.

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LAWS OF LOGARITHMS 4. The log and exponential are inverses of each other so they cancel each other! Example:

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LAWS OF LOGARITHMS 5. This is because And So we get

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Let’s Practice! (No Calculator) Evaluate

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Let’s Practice! (No Calculator) Evaluate Simplify

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Let’s Practice! (No Calculator)

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Express y in terms of x:

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Write as a single logarithm:

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Solve:

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Homework: 5.6 Page 200 1-45 every other odd

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