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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{10} (24) - lo g_{10} (8)

lo g_{b} (x^{5} z)

lo g_{a} (\frac{1}{27})

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

lo g_{b} (7 \cdot 3)

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