Factor
5\log_{10}\left(e\right)\left(\ln(x)-\ln(y)\right)
Evaluate
5\log(e)\left(\ln(x)-\ln(y)\right)
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5\left(\log_{10}\left(x\right)-\log_{10}\left(y\right)\right)
Factor out 5.
\frac{\ln(x)-\ln(y)}{\ln(10)}
Consider \ln(x)\times \frac{1}{\ln(10)}-\ln(y)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.
\frac{5\left(\ln(x)-\ln(y)\right)}{\ln(10)}
Rewrite the complete factored expression.
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