Factor
\frac{\ln(|x|)-2\ln(|y|)+\ln(2)}{2}
Evaluate
\frac{\ln(|x|)-2\ln(|y|)+\ln(2)}{2}
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\frac{\log_{e}\left(|2x|\right)-2\log_{e}\left(|y|\right)}{2}
Factor out \frac{1}{2}.
\frac{\ln(|2x|)-2\ln(|y|)}{\ln(e)}
Consider \ln(|2x|)\times \frac{1}{\ln(e)}-2\ln(|y|)\times \frac{1}{\ln(e)}. Factor out \frac{1}{\ln(e)}.
\frac{\ln(|2x|)-2\ln(|y|)}{2\ln(e)}
Rewrite the complete factored expression.
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