What is log_{10}((x^3y^4)/(z^2)) ?

The solution to log_{10}((x^3y^4)/(z^2)) is 3log_{10}(x)+4log_{10}(y)-2log_{10}(z)

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simplify log_{10}((x^3y^4)/(z^2))

simplify

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{2}})

3 lo g_{10} (x) + 4 lo g_{10} (y) - 2 lo g_{10} (z)

Solution steps

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{2}})

Apply log rule:

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

lo g_{10} (\frac{x ^{3} y ^{4}}{z ^{2}}) = lo g_{10} (x^{3} y^{4}) - lo g_{10} (z^{2})

= lo g_{10} (x^{3} y^{4}) - lo g_{10} (z^{2})

lo g_{10} (x^{3} y^{4}) = 3 lo g_{10} (x) + 4 lo g_{10} (y)

lo g_{10} (z^{2}) = 2 lo g_{10} (z)

= 3 lo g_{10} (x) + 4 lo g_{10} (y) - 2 lo g_{10} (z)

ln (5 x y)

lo g_{b} (2 b^{5})

lo g_{10} (2 x + 3) - lo g_{10} (x)

x (ln (x) - ln (y))

ln (\frac{x}{2}) - ln (x)

What is log_{10}((x^3y^4)/(z^2)) ?
The solution to log_{10}((x^3y^4)/(z^2)) is 3log_{10}(x)+4log_{10}(y)-2log_{10}(z)