What is log_{a}((xsqrt(y))/(z^2)) ?

The solution to log_{a}((xsqrt(y))/(z^2)) is log_{a}(x)+log_{a}(sqrt(y))-2log_{a}(z)

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simplify log_{a}((xsqrt(y))/(z^2))

simplify

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

lo g_{a} (x) + lo g_{a} (y) - 2 lo g_{a} (z)

Solution steps

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

Apply log rule:

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

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

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

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

lo g_{a} (z^{2}) = 2 lo g_{a} (z)

= lo g_{a} (x) + lo g_{a} (y) - 2 lo g_{a} (z)

ln (x e^{5 x})

lo g_{3} (\frac{a}{b})

lo g_{2} (15) + 6 lo g_{2} (x) - \frac{4}{3} lo g_{2} (x) - \frac{1}{3} lo g_{2} (x + 3)

- lo g_{10} (2.3 x 1 0^{- 9})

ln (x^{2} - 16) - ln (x + 4)

What is log_{a}((xsqrt(y))/(z^2)) ?
The solution to log_{a}((xsqrt(y))/(z^2)) is log_{a}(x)+log_{a}(sqrt(y))-2log_{a}(z)