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

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

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

expand

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

lo g_{4} (x) - 2

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

ln (x^{4}) + ln (\frac{1}{x})

ln (\frac{( x - 3 )}{x + 2})

5 e^{l n (5) - l n (2)} - e^{2 (l n (5) - l n (2))}

ln (\frac{2 x}{y ^{2}})

lo g_{e} (\frac{∣ x + 1 ∣ - 1}{∣ x - 3 ∣ + 1})

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