What is expand log_{4}((xy)/3) ?

The solution to expand log_{4}((xy)/3) is log_{4}(x)+log_{4}(y)-log_{4}(3)

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expand log_{4}((xy)/3)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{4} (x y) = lo g_{4} (x) + lo g_{4} (y)

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

lo g_{2} (a) + lo g_{2} (b) - 2 lo g_{2} (c)

\frac{1}{2} lo g_{c} (x) + 2 lo g_{c} (y) - 4 lo g_{c} (x)

ln (\frac{1}{u ^{2} + v ^{2}})

ln (x) + 3 ln (y)

ln (\frac{x + 3}{x y})

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