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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

- 3 lo g_{10} (z) + 7 lo g_{10} (x) - 5 lo g_{10} (y)

lo g_{6} (x z^{3})

4 lo g_{10} (a) + lo g_{10} (k)

lo g_{3} (\frac{x}{x + 2})

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