# Solve log(base4)X + log(base4) (X+6) <2

1. Nov 22, 2009

### VVVS

1. The problem statement, all variables and given/known data
Solve log(base4)X + log(base4) (X+6) <2

2. Relevant equations
log(base4)X + log(base4) (X+6) =2 comes out to x=-8 and X=2

3. The attempt at a solution
I can't seem to figure out what steps I should even take to answer this inequality.

2. Nov 22, 2009

### rahl___

Re: inequality

this property should be useful:
$$log_a (b*c) = log_a b + log_a c$$
applying this to your inequality and changing 2 into $$log_4 16$$ you'll get something that can be easily transferred into inequality containing quadratic function, which you'll surely solve on your own

3. Nov 22, 2009

### Staff: Mentor

Re: inequality

One relevant equation here would be logaA + logaB = logaAB.
Another is logab = c <==> b = ac.
The equation you have here is part of your work, not really a relevant equation.
First off, you should determine which values of x are going to be allowed as potential solutions. Then, see if the equations I added might be of some help to you.