What is 3log_{4}(x^2)+1/2 log_{4}(sqrt(x)) ?

The solution to 3log_{4}(x^2)+1/2 log_{4}(sqrt(x)) is 3log_{2}(x)+(log_{4}(sqrt(x)))/2

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simplify 3log_{4}(x^2)+1/2 log_{4}(sqrt(x))

simplify

3 lo g_{4} (x^{2}) + \frac{1}{2} lo g_{4} (x)

3 lo g_{2} (x) + \frac{lo g _{4} ( x )}{2}

Solution steps

3 lo g_{4} (x^{2}) + \frac{1}{2} lo g_{4} (x)

3 lo g_{4} (x^{2}) = 3 lo g_{2} (x)

\frac{1}{2} lo g_{4} (x) = \frac{lo g _{4} ( x )}{2}

= 3 lo g_{2} (x) + \frac{lo g _{4} ( x )}{2}

lo g_{5} (\frac{5}{x})

lo g_{14} (14 x)

lo g_{4} (2 x)

lo g_{2} (\frac{x}{3})

What is 3log_{4}(x^2)+1/2 log_{4}(sqrt(x)) ?
The solution to 3log_{4}(x^2)+1/2 log_{4}(sqrt(x)) is 3log_{2}(x)+(log_{4}(sqrt(x)))/2