Let x=_2116. Then, we must have 2^x = 116 = 2^-4, so x=-4.

jmc

algebra junior

Problem

Evaluate

lo g_{2} \frac{1}{16}

Solution

Let

x = lo g_{2} \frac{1}{16}

. Then, we must have

2^{x} = \frac{1}{16} = 2^{- 4}

, so

x = - 4

Final answer

-4