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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{4} (7) - lo g_{4} (5)

ln (\frac{11}{2})

9 ln (x) - \frac{1}{8} ln (y)

lo g_{3} (4 x^{2} y^{5})

ln (\frac{s ^{2} + 9}{s ^{2} + 1})

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