What is log_{10}(x^3)-log_{10}(y^2) ?

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

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simplify log_{10}(x^3)-log_{10}(y^2)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

\frac{1}{3} ln (x - 3) - 4 ln (z) + ln (y + 7)

lo g_{10} ((\frac{p ^{4}}{q ^{7}})^{2})

- lo g_{10} (2.6 \cdot 1 0^{- 4})

lo g_{x} (\frac{1}{16})

3 ln (x) - 4 ln (y) - 5 ln (z)

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