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Expand each logarithm as much as possible to rewrite each expression as a sum, difference or product of logs.

Expand each logarithm as much as possible to rewrite each expression as a sum, difference-example-1
User Umair Mubeen
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1 Answer

13 votes
13 votes

In order to expand this logarithm, we can use the following property:


\log_a(b\cdot c)=\log_ab+\log_ac

So, expanding the given logarithm, we have:


\begin{gathered} \log_b(7x\cdot2y)\\ \\ =\log_b7x+\log_b2y\\ \\ =\log_b7+\log_bx+\operatorname{\log}_b2+\operatorname{\log}_by \end{gathered}

User RaidenF
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