# How do you solve #ln(x-3)+ln(x+4)=3ln2#?

##### 2 Answers

I found

#### Explanation:

You can first use the property of logs:

so:

then the other property:

so you get:

Now take the exponential of both sides:

cancelling

Using the Quadratic Formula:

Two solutions:

Try the two into the original equation and you'll find that the negative does not work.

Minutely different way of talking this problem

#### Explanation:

Addition of logs is the result of multiplication of the source numbers

So

Multiplication of a log is the result of the source number being raised to a power

So

Putting it all together we have

Now it can be solved as in Gio's solution