What is 3log_{10}(x)-log_{10}(4y) ?

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

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simplify 3log_{10}(x)-log_{10}(4y)

simplify

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

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

Solution steps

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

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

ln (6) + ln (30)

ln (t) - 2 ln (u) + 3 ln (v)

3 lo g_{9} (x) - 18 lo g_{9} (y)

ln (\frac{5 x}{y ^{2}})

\frac{1}{3} ln (\frac{1}{27})

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