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