What is log_{5}(xsqrt(y)) ?

The solution to log_{5}(xsqrt(y)) is log_{5}(x)+log_{5}(sqrt(y))

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simplify log_{5}(xsqrt(y))

simplify

lo g_{5} (x y)

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

Solution steps

lo g_{5} (x y)

Apply log rule:

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

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

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

ln (\frac{x}{6})

lo g_{10} (\frac{10}{x})

ln (\frac{x ^{\frac{1}{2}}}{x ^{2} 1 + x ^{2}})

\frac{1}{2} ln (3 x - 5 y) - ln (4 x + y)

lo g_{b} (7 x \cdot 3 y)

What is log_{5}(xsqrt(y)) ?
The solution to log_{5}(xsqrt(y)) is log_{5}(x)+log_{5}(sqrt(y))