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4\left(\log_{10}\left(x+3\right)+\log_{10}\left(6-x\right)\right)
Factor out 4.
\frac{\ln(x+3)+\ln(6-x)}{\ln(10)}
Consider \ln(x+3)\times \frac{1}{\ln(10)}+\ln(6-x)\times \frac{1}{\ln(10)}. Factor out \frac{1}{\ln(10)}.
\frac{4\left(\ln(x+3)+\ln(6-x)\right)}{\ln(10)}
Rewrite the complete factored expression.