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

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

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simplify log_{10}(3sqrt(x^2))

simplify

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

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

Solution steps

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

Simplify

3 x^{2} : 3 x

= lo g_{10} (3 x)

Apply log rule:

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

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

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

3 lo g_{2} (z) - \frac{1}{2} lo g_{2} (x) + 4 lo g_{2} (w)

7 ln (\frac{6}{5})

ln (31 x^{5} y)

lo g_{2} (6) + lo g_{2} (12)

lo g_{10} (\frac{x}{y ^{9} z ^{5}})

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