What is log_{10}((yx^3)/(sqrt(z))) ?

The solution to log_{10}((yx^3)/(sqrt(z))) is log_{10}(y)+3log_{10}(x)-log_{10}(sqrt(z))

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simplify log_{10}((yx^3)/(sqrt(z)))

simplify

lo g_{10} (\frac{y x ^{3}}{z})

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

Solution steps

lo g_{10} (\frac{y x ^{3}}{z})

Apply log rule:

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

lo g_{10} (\frac{y x ^{3}}{z}) = lo g_{10} (y x^{3}) - lo g_{10} (z)

= lo g_{10} (y x^{3}) - lo g_{10} (z)

Simplify

lo g_{10} (y x^{3}) : lo g_{10} (y) + 3 lo g_{10} (x)

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

lo g_{7} (\frac{r ^{4}}{s ^{5} t})

lo g_{a} (\frac{x y ^{3}}{z ^{2}})

lo g_{x} (\frac{ab}{c})

lo g_{5} (\frac{x yz}{w})

What is log_{10}((yx^3)/(sqrt(z))) ?
The solution to log_{10}((yx^3)/(sqrt(z))) is log_{10}(y)+3log_{10}(x)-log_{10}(sqrt(z))