What is log_{10}(x/(z^4)) ?

The solution to log_{10}(x/(z^4)) is log_{10}(x)-4log_{10}(z)

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simplify log_{10}(x/(z^4))

simplify

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

lo g_{10} (x) - 4 lo g_{10} (z)

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (x) - lo g_{10} (z^{4})

Simplify

lo g_{10} (z^{4}) : 4 lo g_{10} (z)

= lo g_{10} (x) - 4 lo g_{10} (z)

(ln (e^{s i n (x)}))^{2}

ln (\frac{x}{8})

ln (9 x)

ln (\frac{4}{5 - 2 x})

ln ∣ 4 ∣ - ln ∣ 5 ∣

What is log_{10}(x/(z^4)) ?
The solution to log_{10}(x/(z^4)) is log_{10}(x)-4log_{10}(z)