Posted by Zac on Wednesday, October 5, 2011 at 4:39pm.
Express the given quantity in a single logarithm.
ln(a + b) + ln(a  b)  2 ln c

Cal  PC, Wednesday, October 5, 2011 at 4:46pm
The sum of two logarithms is equal to the logarithm of the product, and the difference equals the quotient:
log(A)+log(B)log(C)
=log(AB/C)
Twice the logarithm of a quantity is the logarithm of the square of the quantity:
2log(C)=log(C²)
So if we put it all together, we get:
log(A)+log(B)2log(C)
=log( AB/C²)
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