Question
Asked Dec 2, 2019
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Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm, assume that all variables represent positive real numbers:

log a^m - log a^n + 4 log a^k

Thank you

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Expert Answer

Step 1

Given:

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log m-log n+41log, k

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Step 2

Calculation:

We have to convert into single logarithm.

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log m-log n4 log k a Applying quotient log rule: log, (a)-log. (b) log b 4 lg, (k) =loga +

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Step 3
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Applying power log rule: alog. (b) log. (b") + log, (k) = log n

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Math

Algebra

Logarithms

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