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Rewrite the following expression as a single logarithm with coefficient 1.

3log base5 w^2/w^3

User Johnbot
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2 Answers

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Use:\\\\(a^n)/(a^m)=a^(n-m)\\\\n\log_ab=\log_ab^n\\\\\left(a^n\right)^m=a^(n\cdot m)\\\\a^(-n)=(1)/(a^n)


3\log_5(w^2)/(w^3)=3\log_5w^(2-3)=3\log_5w^(-1)\\\\=\log_5\left(w^(-1)\right)^3=\log_5w^(-1\cdot3)=\log_5w^(-3)=\log_5(1)/(w^3)
User Nazanin
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Answer: D

Explanation:

I had to get it wrong, so give me a thank woodyah?

User Dmitry
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