What is log_{10}((x^{15}y^{17})/(z^{13)}) ?

The solution to log_{10}((x^{15}y^{17})/(z^{13)}) is 15log_{10}(x)+17log_{10}(y)-13log_{10}(z)

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simplify log_{10}((x^{15}y^{17})/(z^{13)})

simplify

lo g_{10} (\frac{x ^{15} y ^{17}}{z ^{13}})

15 lo g_{10} (x) + 17 lo g_{10} (y) - 13 lo g_{10} (z)

Solution steps

lo g_{10} (\frac{x ^{15} y ^{17}}{z ^{13}})

Apply log rule:

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

lo g_{10} (\frac{x ^{15} y ^{17}}{z ^{13}}) = lo g_{10} (x^{15} y^{17}) - lo g_{10} (z^{13})

= lo g_{10} (x^{15} y^{17}) - lo g_{10} (z^{13})

lo g_{10} (x^{15} y^{17}) = 15 lo g_{10} (x) + 17 lo g_{10} (y)

lo g_{10} (z^{13}) = 13 lo g_{10} (z)

= 15 lo g_{10} (x) + 17 lo g_{10} (y) - 13 lo g_{10} (z)

ln (x (x + 1) (x + 2))

lo g_{6} (72) - lo g_{6} (144) - lo g_{6} (18)

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

\frac{1}{2} (3 ln (3) - ln (2))

5 lo g_{10} (4 x^{2})

What is log_{10}((x^{15}y^{17})/(z^{13)}) ?
The solution to log_{10}((x^{15}y^{17})/(z^{13)}) is 15log_{10}(x)+17log_{10}(y)-13log_{10}(z)