What is log_{10}(16x^2) ?

The solution to log_{10}(16x^2) is 4log_{10}(2)+2log_{10}(x)

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simplify log_{10}(16x^2)

simplify

lo g_{10} (16 x^{2})

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

Solution steps

lo g_{10} (16 x^{2})

Apply log rule:

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

lo g_{10} (16 x^{2}) = lo g_{10} (16) + lo g_{10} (x^{2})

= lo g_{10} (16) + lo g_{10} (x^{2})

lo g_{10} (16) = 4 lo g_{10} (2)

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

= 4 lo g_{10} (2) + 2 lo g_{10} (x)

\frac{3}{41} ln (2 e)

4 lo g_{10} (3) - 1 lo g_{10} (x)

\frac{1}{2} ln (x) - 5 ln (y) + 4 ln (z)

2 ln (a) - ln (3 b) + 2 ln (2)

lo g_{10} (3 x) - 1

What is log_{10}(16x^2) ?
The solution to log_{10}(16x^2) is 4log_{10}(2)+2log_{10}(x)