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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