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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

2 ln (6) - ln (3)

ln (\frac{2}{7} t^{3})

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

ln \frac{2}{( \frac{3}{2} ) ^{\frac{1}{4}}}

3 lo g_{3} (x) + 9 lo g_{3} (z)

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