How do you solve #ln(x-3)+ln(x+4)=3ln2#?
You can first use the property of logs:
then the other property:
so you get:
Now take the exponential of both sides:
Using the Quadratic Formula:
Try the two into the original equation and you'll find that the negative does not work.
Minutely different way of talking this problem
Addition of logs is the result of multiplication of the source numbers
Multiplication of a log is the result of the source number being raised to a power
Putting it all together we have
Now it can be solved as in Gio's solution