What is log_{10}((x^3)/5) ?

The solution to log_{10}((x^3)/5) is 3log_{10}(x)-log_{10}(5)

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simplify log_{10}((x^3)/5)

simplify

lo g_{10} (\frac{x ^{3}}{5})

3 lo g_{10} (x) - lo g_{10} (5)

Solution steps

lo g_{10} (\frac{x ^{3}}{5})

Apply log rule:

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

lo g_{10} (\frac{x ^{3}}{5}) = lo g_{10} (x^{3}) - lo g_{10} (5)

= lo g_{10} (x^{3}) - lo g_{10} (5)

Simplify

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

= 3 lo g_{10} (x) - lo g_{10} (5)

lo g_{2} (x) - lo g_{2} (x^{5})

\frac{1}{2} lo g_{a} (x)

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

3 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

lo g_{10} (2 A)

What is log_{10}((x^3)/5) ?
The solution to log_{10}((x^3)/5) is 3log_{10}(x)-log_{10}(5)