What is log_{3}(xsqrt(y)) ?

The solution to log_{3}(xsqrt(y)) is log_{3}(x)+log_{3}(sqrt(y))

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simplify log_{3}(xsqrt(y))

simplify

lo g_{3} (x y)

lo g_{3} (x) + lo g_{3} (y)

Solution steps

lo g_{3} (x y)

Apply log rule:

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

lo g_{3} (x y) = lo g_{3} (x) + lo g_{3} (y)

= lo g_{3} (x) + lo g_{3} (y)

lo g_{7} (3 x)

ln (\frac{x}{x - 6}) + ln (\frac{x + 6}{x}) - ln (x^{2} - 36)

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

lo g_{10} (x) - \frac{1}{2} lo g_{10} (y) + 7 lo g_{10} (z)

3 ln (x) + 2 ln (y) - 4 ln (z)

What is log_{3}(xsqrt(y)) ?
The solution to log_{3}(xsqrt(y)) is log_{3}(x)+log_{3}(sqrt(y))