What is 1/2 (log_{4}(s)+log_{4}(t)) ?

The solution to 1/2 (log_{4}(s)+log_{4}(t)) is 1/2 log_{4}(st)

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simplify 1/2 (log_{4}(s)+log_{4}(t))

simplify

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

\frac{1}{2} lo g_{4} (s t)

Solution steps

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

Apply log rule:

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

lo g_{4} (s) + lo g_{4} (t) = lo g_{4} (s t)

= \frac{1}{2} lo g_{4} (s t)

2 lo g_{10} (9) + 2 lo g_{10} (x)

ln (x^{6})

lo g_{10} (z^{3} x^{5} y)

lo g_{8} (3 x)

lo g_{3} (2) - lo g_{3} (7)

What is 1/2 (log_{4}(s)+log_{4}(t)) ?
The solution to 1/2 (log_{4}(s)+log_{4}(t)) is 1/2 log_{4}(st)