What is log_{10}((x+2)^2)+log_{10}((x+1)^3) ?

The solution to log_{10}((x+2)^2)+log_{10}((x+1)^3) is log_{10}((x+2)^2(x+1)^3)

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simplify log_{10}((x+2)^2)+log_{10}((x+1)^3)

simplify

lo g_{10} ((x + 2)^{2}) + lo g_{10} ((x + 1)^{3})

lo g_{10} ((x + 2)^{2} (x + 1)^{3})

Solution steps

lo g_{10} ((x + 2)^{2}) + lo g_{10} ((x + 1)^{3})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} ((x + 2)^{2}) + lo g_{10} ((x + 1)^{3}) = lo g_{10} ((x + 2)^{2} (x + 1)^{3})

= lo g_{10} ((x + 2)^{2} (x + 1)^{3})

4 ln (7 - 2)

lo g_{2} (\frac{x ^{8} y ^{3}}{8 w ^{2}})

lo g_{10} (\frac{r ^{2} s ^{6}}{t ^{4}})

lo g_{10} (\frac{z ^{3} y ^{2}}{x})

\frac{1}{2} lo g_{b} (x) + 3 lo g_{b} (y) - 4 lo g_{b} (x)

What is log_{10}((x+2)^2)+log_{10}((x+1)^3) ?
The solution to log_{10}((x+2)^2)+log_{10}((x+1)^3) is log_{10}((x+2)^2(x+1)^3)