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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{10} (12 x^{4}) - lo g_{10} (4 x)

lo g_{2} (\frac{16}{y})

lo g_{2} (x y) - lo g_{2} (x^{2})

lo g_{3} (x) + lo g_{3} (x + 6)

ln (y \frac{x}{z})

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