09-02-2013, 11:53 AM
Log negative one zero
Log negative.docx (Size: 13.37 KB / Downloads: 22)
Theorem: log(-1) = 0
Proof:
a. log[(-1)^2] = 2 * log(-1)
On the other hand:
b. log[(-1)^2] = log(1) = 0
Combining a) and b) gives:
2* log(-1) = 0
Divide both sides by 2:
log(-1) = 0