SOLUTION: {{{log(4, (x^2-9)) - log(4, (x+3)) = 3 }}} Solve for x. What is the sum of the solutions?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{log(4, (x^2-9)) - log(4, (x+3)) = 3 }}} Solve for x. What is the sum of the solutions?       Log On


   

Question 972083: log%284%2C+%28x%5E2-9%29%29+-+log%284%2C+%28x%2B3%29%29+=+3+ Solve for x. What is the sum of the solutions?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Note that

The log of the product is the sum of the logs of the factors, so:



The orginal equation thus reduces to:



Using

We can write



You should be able to finish from here.

John

My calculator said it, I believe it, that settles it