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

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

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simplify log_{10}((xy^2)/z)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{10} (\frac{y z}{x ^{4}})

lo g_{5} (7) - lo g_{5} (6)

- lo g_{10} (2.8 \cdot 1 0^{- 3})

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

lo g_{e} (\frac{17}{4})

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