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

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

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simplify log_{2}((sqrt(c))/4)

simplify

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

lo g_{2} (c) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (4) = 2

= lo g_{2} (c) - 2

lo g_{2} (\frac{4 x + 1}{5})

\frac{1}{2} ln (x) + 4 ln (y) - 3 ln (z)

lo g_{9} (x^{2} + 13 x + 40) - lo g_{9} (x + 8)

3.8 + lo g_{10} (\frac{0.2 - 0.02}{0.5 + 0.02})

lo g_{2} (\frac{8 a ^{2} 2 - b}{c ( b + 3 ) ^{2}})

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