What is 1/2 (log_{2}(x)+log_{2}(y)) ?

The solution to 1/2 (log_{2}(x)+log_{2}(y)) is 1/2 log_{2}(xy)

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simplify 1/2 (log_{2}(x)+log_{2}(y))

simplify

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

\frac{1}{2} lo g_{2} (x y)

Solution steps

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

Apply log rule:

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

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

= \frac{1}{2} lo g_{2} (x y)

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

ln (\frac{53}{2})

ln (9 y)

ln (3 e^{3 x})

lo g_{3} (4) + lo g_{3} (5)

What is 1/2 (log_{2}(x)+log_{2}(y)) ?
The solution to 1/2 (log_{2}(x)+log_{2}(y)) is 1/2 log_{2}(xy)