SOLUTION: Log10 square root (s-a)(s-g) squared Sorry i do not have the actual symbols on the keyborad!

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Question 87117This question is from textbook
: Log10 square root (s-a)(s-g) squared
Sorry i do not have the actual symbols on the keyborad! This question is from textbook

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Is this what you mean?
log%2810%2Csqrt%28%28s-a%29%2A%28s-g%29%29%5E2%29+

If so, then writing that logarithmic expression was the hard part of the problem! Remember that squaring "undoes" the square root, so you might think that
sqrt%28x%5E2%29+=+x. However, this is not technically correct, since by the principle value definition, a square root cannot equal a negative number. We therefore make the definition that
sqrt%28x%5E2%29+=+abs%28x%29+
sqrt%28%28s-a%29%2A%28s-g%29%29%5E2+= abs%28%28s-a%29%2A%28s-g%29%29+

By this definition, you can easily write this expression:
log%2810%2Csqrt%28%28s-a%29%2A%28s-g%29%29%5E2%29+= log%2810%2Cabs%28%28s-a%29%2A%28s-g%29%29%29+

R^2 Retired from SCC