What is 1/2 (log_{6}(s)+log_{6}(t)) ?

The solution to 1/2 (log_{6}(s)+log_{6}(t)) is 1/2 log_{6}(st)

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simplify 1/2 (log_{6}(s)+log_{6}(t))

simplify

\frac{1}{2} (lo g_{6} (s) + lo g_{6} (t))

\frac{1}{2} lo g_{6} (s t)

Solution steps

\frac{1}{2} (lo g_{6} (s) + lo g_{6} (t))

Apply log rule:

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

lo g_{6} (s) + lo g_{6} (t) = lo g_{6} (s t)

= \frac{1}{2} lo g_{6} (s t)

lo g_{2} (\frac{4 x + 1}{x})

lo g_{5} (\frac{3 x ^{2}}{y ^{3}})

ln (\frac{7}{3})

\frac{1}{2} (6 ln (x) - 7 ln (y))

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

What is 1/2 (log_{6}(s)+log_{6}(t)) ?
The solution to 1/2 (log_{6}(s)+log_{6}(t)) is 1/2 log_{6}(st)