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2\left(\log_{10}\left(x\right)+\log_{10}\left(z\right)-2\log_{10}\left(y\right)\right)
Factor out 2.
\frac{\ln(x)+\ln(z)-2\ln(y)}{\ln(10)}
Consider \ln(x)\times \frac{1}{\ln(10)}+\ln(z)\times \frac{1}{\ln(10)}-2\ln(y)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.
\frac{2\left(\ln(x)+\ln(z)-2\ln(y)\right)}{\ln(10)}
Rewrite the complete factored expression.