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Condense the logarithmic expression:4 log2 y + 1/3 log2 x^3

Condense the logarithmic expression:4 log2 y + 1/3 log2 x^3-example-1
User GoFaster
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3 votes

Given:


4\log _2y+(1)/(3)\log _2x^3
\log a^b=b\log a

Then:


\begin{gathered} 4\log _2y+(1)/(3)\log _2x^3 \\ =\log _2y^4+\log _2(x^3)^{(1)/(3)} \\ =\log _2y^4+\log _2x \end{gathered}
\log ab=\log a+\log b
\begin{gathered} =\log _2y^4+\log _2x \\ =\log _2(y^4x) \end{gathered}

User Ironic
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