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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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}})

lo g_{5} (\frac{8}{x})

\frac{1}{2} lo g_{7} (x) + lo g_{7} (y)

6 lo g_{b} (q) - lo g_{b} (r)

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

ln (5 e^{- 2})

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