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

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

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

simplify

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

lo g_{4} (c) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (16) = 2

= lo g_{4} (c) - 2

lo g_{10} (64) + \frac{1}{2} lo g_{10} (7) - lo g_{10} (8)

lo g_{10} (\frac{3 x}{yz})

1 + lo g_{10} (2 x)

lo g_{5} (12) - lo g_{5} (6)

3 lo g_{2} (x) - (lo g_{2} (3) - lo g_{2} (x + 4))

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