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

The solution to log_{10}((x^2)/(sqrt(y))) is 2log_{10}(x)-log_{10}(sqrt(y))

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simplify log_{10}((x^2)/(sqrt(y)))

simplify

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

2 lo g_{10} (x) - lo g_{10} (y)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{x ^{2}}{y}) = lo g_{10} (x^{2}) - lo g_{10} (y)

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

Simplify

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

= 2 lo g_{10} (x) - lo g_{10} (y)

ln (\frac{10}{9})

\frac{1}{2} lo g_{10} (c) + 4 lo g_{10} (d)

ln (\frac{x ^{2}}{3 x + 2})

ln (\frac{1}{16})

4 ln (x^{2}) - 5 ln (w) - \frac{7}{3} ln (z) + 2 ln (y^{3})

What is log_{10}((x^2)/(sqrt(y))) ?
The solution to log_{10}((x^2)/(sqrt(y))) is 2log_{10}(x)-log_{10}(sqrt(y))