What is log_{4}(xsqrt(y)) ?

The solution to log_{4}(xsqrt(y)) is log_{4}(x)+log_{4}(sqrt(y))

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simplify log_{4}(xsqrt(y))

simplify

lo g_{4} (x y)

lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (x y)

Apply log rule:

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

lo g_{4} (x y) = lo g_{4} (x) + lo g_{4} (y)

= lo g_{4} (x) + lo g_{4} (y)

3 lo g_{3} (x + 1) - 2 lo g_{3} (x) - lo g_{3} (x - 6)

2 ln (\frac{1}{2})

lo g_{10} (\frac{x}{2 y})

lo g_{3} (\frac{5}{q ^{2} p})

What is log_{4}(xsqrt(y)) ?
The solution to log_{4}(xsqrt(y)) is log_{4}(x)+log_{4}(sqrt(y))