What is 1/2 (log_{8}(x)+log_{8}(y)) ?

The solution to 1/2 (log_{8}(x)+log_{8}(y)) is 1/2 log_{8}(xy)

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simplify 1/2 (log_{8}(x)+log_{8}(y))

simplify

\frac{1}{2} (lo g_{8} (x) + lo g_{8} (y))

\frac{1}{2} lo g_{8} (x y)

Solution steps

\frac{1}{2} (lo g_{8} (x) + lo g_{8} (y))

Apply log rule:

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

lo g_{8} (x) + lo g_{8} (y) = lo g_{8} (x y)

= \frac{1}{2} lo g_{8} (x y)

ln (\frac{m}{n})

lo g_{1 - 0.03} (\frac{x}{600})

ln (\frac{x ^{2} - 1}{x ^{5}})

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

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

What is 1/2 (log_{8}(x)+log_{8}(y)) ?
The solution to 1/2 (log_{8}(x)+log_{8}(y)) is 1/2 log_{8}(xy)