What is 1/2 (log_{3}(s)+log_{3}(t)) ?

The solution to 1/2 (log_{3}(s)+log_{3}(t)) is 1/2 log_{3}(st)

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simplify 1/2 (log_{3}(s)+log_{3}(t))

simplify

\frac{1}{2} (lo g_{3} (s) + lo g_{3} (t))

\frac{1}{2} lo g_{3} (s t)

Solution steps

\frac{1}{2} (lo g_{3} (s) + lo g_{3} (t))

Apply log rule:

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

lo g_{3} (s) + lo g_{3} (t) = lo g_{3} (s t)

= \frac{1}{2} lo g_{3} (s t)

5 lo g_{10} (x^{3}) - 4 lo g_{10} (x^{2})

lo g_{10} (\frac{y ^{5} x ^{2}}{z ^{5}})

ln (\frac{11}{5})

lo g_{3} (\frac{x ^{2}}{81 y ^{4}})

\frac{5}{6} ln (\frac{40}{27})

What is 1/2 (log_{3}(s)+log_{3}(t)) ?
The solution to 1/2 (log_{3}(s)+log_{3}(t)) is 1/2 log_{3}(st)