What is 1/2 (log_{8}(s)+log_{8}(t)) ?

The solution to 1/2 (log_{8}(s)+log_{8}(t)) is 1/2 log_{8}(st)

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simplify 1/2 (log_{8}(s)+log_{8}(t))

simplify

\frac{1}{2} (lo g_{8} (s) + lo g_{8} (t))

\frac{1}{2} lo g_{8} (s t)

Solution steps

\frac{1}{2} (lo g_{8} (s) + lo g_{8} (t))

Apply log rule:

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

lo g_{8} (s) + lo g_{8} (t) = lo g_{8} (s t)

= \frac{1}{2} lo g_{8} (s t)

lo g_{8} (x (x - 9))

lo g_{10} (x (x^{2} + 2)^{- \frac{1}{2}})

ln (\frac{x}{x})

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

lo g_{10} (33) + lo g_{10} (264)

What is 1/2 (log_{8}(s)+log_{8}(t)) ?
The solution to 1/2 (log_{8}(s)+log_{8}(t)) is 1/2 log_{8}(st)