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Can you teach me how to do logarithms? ------equation---log500−log1/2 =

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To answer this question we will use the following property of logarithms:


\log a-\log b=\log (a)/(b)\text{.}

Therefore:


\log 500-\log (1)/(2)=\log (500)/((1)/(2))\text{.}

Simplifying the above result we get:


\log (500)/((1)/(2))=\log (500\cdot2)=\log 1000.

Now, notice that:


1000=10^3\text{.}

Therefore:


\log 1000=3.

Answer:


\log 500-\log (1)/(2)=3.

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