What is 1/2 (log_{5}(x)+log_{5}(y)) ?

The solution to 1/2 (log_{5}(x)+log_{5}(y)) is 1/2 log_{5}(xy)

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simplify 1/2 (log_{5}(x)+log_{5}(y))

simplify

\frac{1}{2} (lo g_{5} (x) + lo g_{5} (y))

\frac{1}{2} lo g_{5} (x y)

Solution steps

\frac{1}{2} (lo g_{5} (x) + lo g_{5} (y))

Apply log rule:

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

lo g_{5} (x) + lo g_{5} (y) = lo g_{5} (x y)

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

ln (x^{2} cos (x))

lo g_{2} (\frac{9 x}{y})

lo g_{b} (\frac{16}{25})

5 lo g_{10} (x) + lo g_{10} (20) - lo g_{10} (10)

lo g_{10} (80) - 2 \cdot lo g_{10} (4)

What is 1/2 (log_{5}(x)+log_{5}(y)) ?
The solution to 1/2 (log_{5}(x)+log_{5}(y)) is 1/2 log_{5}(xy)