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

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

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

simplify

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

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

Solution steps

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

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

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

lo g_{3} ((u^{2} v)^{6})

lo g_{10} (21) - lo g_{10} (7)

2 (ln (x) - ln (y)) + \frac{1}{2} ln (z)

4 lo g_{2} (11) - 6 lo g_{2} (6)

ln (\frac{( 3 ^{x} 6 ^{2 x} )}{2 ^{3 x}})

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