What is expand log_{4}(5xy) ?

The solution to expand log_{4}(5xy) is log_{4}(5)+log_{4}(x)+log_{4}(y)

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expand log_{4}(5xy)

expand

lo g_{4} (5 x y)

lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (5 x y)

Apply log rule:

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

lo g_{4} (5 x y) = lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

= lo g_{4} (5) + lo g_{4} (x) + lo g_{4} (y)

lo g_{b} (x^{2} y^{3})

- \frac{1}{2} ln ∣ x + 1 ∣ + \frac{1}{2} ln ∣ x - 1 ∣

lo g_{6} (\frac{1}{z ^{3}})

lo g_{6} (\frac{64 x ^{3} ( 4 x + 1 )}{2 x - 1})

e^{3 x} cosh (8 x^{3}) - lo g_{7} (9 x^{2})

What is expand log_{4}(5xy) ?
The solution to expand log_{4}(5xy) is log_{4}(5)+log_{4}(x)+log_{4}(y)