What is 1/2 (log_{3}(a)+log_{3}(b)) ?

The solution to 1/2 (log_{3}(a)+log_{3}(b)) is 1/2 log_{3}(ab)

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simplify 1/2 (log_{3}(a)+log_{3}(b))

simplify

\frac{1}{2} (lo g_{3} (a) + lo g_{3} (b))

\frac{1}{2} lo g_{3} (ab)

Solution steps

\frac{1}{2} (lo g_{3} (a) + lo g_{3} (b))

Apply log rule:

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

lo g_{3} (a) + lo g_{3} (b) = lo g_{3} (ab)

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

lo g_{5} (\frac{5 a}{b c})

lo g_{a} (\frac{3 x}{8 n})

ln (\frac{9}{4 x ^{4} y})

ln (5) + ln (7) + 2 ln (6)

6 ln (x) - \frac{1}{4} ln (y)

What is 1/2 (log_{3}(a)+log_{3}(b)) ?
The solution to 1/2 (log_{3}(a)+log_{3}(b)) is 1/2 log_{3}(ab)