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Exapnd the following using the properties of logarithms simplify when possible Solve number 5

Exapnd the following using the properties of logarithms simplify when possible Solve-example-1
User Trendels
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From the question we are to expand


\log _2(5x^2)

This is done as follows


\begin{gathered} \log _2(5x^2) \\ =\log _2(5* x^2) \\ =\log _25+\log _2x^2 \\ =\log _25+2\log _{2_{}_{}}x \end{gathered}

Therefore, the answer is


\log _25+2\log _2x

User Jeanjean
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