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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

ln (\frac{119}{149})

ln (\frac{6}{2 \cdot π \cdot 0.2})

\frac{lo g _{10} ( a c ) + 2 lo g _{10} ( b )}{4}

ln (\frac{e ^{2 y} x y}{x ^{3}})

\frac{1}{2} ln (\frac{y - 3}{x + 2})

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