What is 1/2 (log_{5}(a)+log_{5}(b)) ?

The solution to 1/2 (log_{5}(a)+log_{5}(b)) is 1/2 log_{5}(ab)

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simplify 1/2 (log_{5}(a)+log_{5}(b))

simplify

\frac{1}{2} (lo g_{5} (a) + lo g_{5} (b))

\frac{1}{2} lo g_{5} (ab)

Solution steps

\frac{1}{2} (lo g_{5} (a) + lo g_{5} (b))

Apply log rule:

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

lo g_{5} (a) + lo g_{5} (b) = lo g_{5} (ab)

= \frac{1}{2} lo g_{5} (ab)

2 ln (x - 2) - ln (x) - 1

lo g_{10} (2) 2

\frac{1}{2} lo g_{3} (5)

lo g_{0.4} (4) + 2 lo g_{0.4} (5)

lo g_{b} (\frac{b y ^{5}}{m ^{2} n ^{4}})

What is 1/2 (log_{5}(a)+log_{5}(b)) ?
The solution to 1/2 (log_{5}(a)+log_{5}(b)) is 1/2 log_{5}(ab)