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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (x) - ln (x + 1)

9 ln (x) - \frac{1}{5} ln (y)

3 ln (x) - 2 ln (x - 1) + 1

3 lo g_{10} (3) - 2 lo g_{10} (6)

\frac{1}{4} lo g_{10} (2 x + y) - lo g_{10} (3 x + 2 y)

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