SOLUTION: Use properties of logarithms to expand the logarithmic expression. Where possible, evaluate logarithmic expressions. log(_b)(xz^5)

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Question 1090058: Use properties of logarithms to expand the logarithmic expression. Where possible, evaluate logarithmic expressions.
log(_b)(xz^5)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use properties of logarithms to expand the logarithmic expression. Where possible, evaluate logarithmic expressions.
log(_b)(xz^5)
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If you mean base b:
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log%28b%2Cxz%5E5%29
--
Logs are exponents.
Multiplying logs --> adding exponents.
--
log%28b%2Cxz%5E5%29+=+log%28b%2Cx%29+%2B+log%28b%2Cz%5E5%29
= log%28b%2Cxz%5E5%29+=+log%28b%2Cx%29+%2B+5%2Alog%28b%2Cz%29
Or