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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

lo g_{2} (a) + lo g_{2} (b) = lo g_{2} (ab)

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

lo g_{10} (x^{5}) y

ln (x) - ln (\frac{1}{x})

0.7 \cdot lo g_{10} (1 \cdot 1 0^{- 3}) + 0.1

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

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