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

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

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simplify log_{10}((xz^2)/y)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (\frac{x}{x ^{2} + 1})

ln (\frac{e x ^{2}}{y})

- lo g_{10} (6.4 \cdot 1 0^{- 4})

- lo g_{10} (6.3 \cdot 1 0^{- 8})

lo g_{6} (13 x)

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