What is expand log_{2}((sqrt(y))/4) ?

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

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expand log_{2}((sqrt(y))/4)

expand

lo g_{2} (\frac{y}{4})

lo g_{2} (y) - 2

Solution steps

lo g_{2} (\frac{y}{4})

Apply log rule:

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

lo g_{2} (\frac{y}{4}) = lo g_{2} (y) - lo g_{2} (4)

= lo g_{2} (y) - lo g_{2} (4)

lo g_{2} (4) = 2

= lo g_{2} (y) - 2

3 [ln (x) - ln (x + 9) - ln (x - 9)]

ln (\frac{x}{20})

- 3 ln (x) + \frac{5}{2} ln (x^{2} + x + 6)

lo g_{3} (\frac{1}{x ^{2} y 3 ^{z}})

ln (\frac{273}{259})

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