SOLUTION: How do you evaluate this function at the value x = {{{1/2}}} without using a calculator? f(x) = log<sub>2</sub>(x)

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Question 641624: How do you evaluate this function at the value x = 1%2F2 without using a calculator? f(x) = log2(x)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
How do you evaluate this function at the value x = 1%2F2 without using a calculator?
f(x) = log2(x) 
Substitute 1%2F2 for x

f(1%2F2) = log2(1%2F2) = log2(2-1)

Then you need to know this property of logarithms: logB(BN) = N

So the whole thing is

f(1%2F2) = log2(1%2F2) = log2(2-1) = -1

Edwin