What is log_{4}((sqrt(x))/(16)) ?

The solution to log_{4}((sqrt(x))/(16)) is log_{4}(sqrt(x))-2

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simplify log_{4}((sqrt(x))/(16))

simplify

lo g_{4} (\frac{x}{16})

lo g_{4} (x) - 2

Solution steps

lo g_{4} (\frac{x}{16})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{4} (\frac{x}{16}) = lo g_{4} (x) - lo g_{4} (16)

= lo g_{4} (x) - lo g_{4} (16)

lo g_{4} (16) = 2

= lo g_{4} (x) - 2

lo g_{7} (x y)

lo g_{4} (2) + lo g_{4} (x) + lo g_{4} (y^{2})

lo g_{4} (3) + lo g_{4} (8)

lo g_{2} (y^{x})

\frac{1}{2} lo g_{a} (x) + 4 lo g_{a} (y) - 3 lo g_{a} (x)

What is log_{4}((sqrt(x))/(16)) ?
The solution to log_{4}((sqrt(x))/(16)) is log_{4}(sqrt(x))-2