What is log_{10}((m^3)/n) ?

The solution to log_{10}((m^3)/n) is 3log_{10}(m)-log_{10}(n)

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simplify log_{10}((m^3)/n)

simplify

lo g_{10} (\frac{m ^{3}}{n})

3 lo g_{10} (m) - lo g_{10} (n)

Solution steps

lo g_{10} (\frac{m ^{3}}{n})

Apply log rule:

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

lo g_{10} (\frac{m ^{3}}{n}) = lo g_{10} (m^{3}) - lo g_{10} (n)

= lo g_{10} (m^{3}) - lo g_{10} (n)

Simplify

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

= 3 lo g_{10} (m) - lo g_{10} (n)

\frac{1}{2} ln (x) - ln (y) - ln (7)

ln (\frac{x}{e ^{7 x}})

(lo g_{a} (x) - lo g_{a} (y)) + 6 lo g_{a} (v)

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

\frac{1}{2} lo g_{10} (c) + 9 lo g_{10} (d)

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