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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

3 lo g_{4} (y) = lo g_{4} (y^{3})

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

Apply log rule:

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

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

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

lo g_{3} (\frac{g}{27})

lo g_{10} (39284 x^{- 1.799})

lo g_{10} (\frac{4 ( 8 + x ) ^{2}}{x ^{5}})

ln (5) + \frac{1}{3} ln (27)

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