What is 1/2 (log_{5}(s)+log_{5}(t)) ?

The solution to 1/2 (log_{5}(s)+log_{5}(t)) is 1/2 log_{5}(st)

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simplify 1/2 (log_{5}(s)+log_{5}(t))

simplify

\frac{1}{2} (lo g_{5} (s) + lo g_{5} (t))

\frac{1}{2} lo g_{5} (s t)

Solution steps

\frac{1}{2} (lo g_{5} (s) + lo g_{5} (t))

Apply log rule:

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

lo g_{5} (s) + lo g_{5} (t) = lo g_{5} (s t)

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

- lo g_{10} (1.2 \cdot 1 0^{- 5})

- lo g_{10} (1.34 \times 1 0^{- 3})

lo g_{3} (\frac{9}{mn})

lo g_{3} (5 x^{3})

3 lo g_{b} (z) + lo g_{b} (y) - 4 lo g_{b} (z)

What is 1/2 (log_{5}(s)+log_{5}(t)) ?
The solution to 1/2 (log_{5}(s)+log_{5}(t)) is 1/2 log_{5}(st)