What is log_{10}((y^3)/x) ?

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

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simplify log_{10}((y^3)/x)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

ln (x) - [ln (x + 1) + 3 ln (x - 1) + 2]

lo g_{5} (2) - lo g_{5} (3)

ln (\frac{1}{x !})

lo g_{b} (\frac{x ^{2} \cdot y}{z ^{6}})

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