What is log_{4}(5)+log_{4}(x)+log_{4}(y) ?

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

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simplify log_{4}(5)+log_{4}(x)+log_{4}(y)

simplify

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

lo g_{4} (5 x y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= lo g_{4} (5 x y)

ln (\frac{2 x ^{5}}{y ^{7}})

\frac{1}{2} ln (\frac{x + 1}{x - 1}) + e^{s i n^{2} (x)} + ln (3)

2 lo g_{10} (y) + lo g_{10} (x)

\frac{1}{2} lo g_{a} (x) + 5 lo g_{a} (y) - 3 lo g_{a} (x)

3 lo g_{10} (x^{3} y) + 2 lo g_{10} (y z^{2})

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