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

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

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

simplify

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

lo g_{4} (y) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (16) = 2

= lo g_{4} (y) - 2

\frac{1}{2} lo g_{c} (x) - 5 lo g_{c} (x) + 2 lo g_{c} (y)

- lo g_{10} (1.6673 \cdot 1 0^{- 5})

lo g_{10} (3 x + 1) - lo g_{10} (3 x^{(2)} - 5 x - 2)

2 ln (x^{2} - 1) - ln (x^{4} - 1)

ln (a + b) + 5 ln (a - b) - 4 ln (c)

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