Question 641624
How do you evaluate this function at the value x = {{{1/2}}} without using a calculator? 

f(x) = log<sub>2</sub>(x) 
<pre>
Substitute {{{1/2}}} for x

f({{{1/2}}}) = log<sub>2</sub>({{{1/2}}}) = log<sub>2</sub>(2<sup>-1</sup>)

Then you need to know this property of logarithms: log<sub>B</sub>(B<sup>N</sup>) = N

So the whole thing is

f({{{1/2}}}) = log<sub>2</sub>({{{1/2}}}) = log<sub>2</sub>(2<sup>-1</sup>) = -1

Edwin</pre>