# Homework Help: Logs and real variables.

1. Feb 7, 2009

### feely

1. The problem statement, all variables and given/known data

Real variables x and y are related by the equation

ln(2+y) = 5ln(3 - x) - 2 sqrt x .....(sorry, I haven't as yet got the hang on LaTeX)

Determine the range of values of x and y for which the expressions on each side of this equation are defined.

2. Relevant equations

3. The attempt at a solution

I haven't really been able to make an attempt at a solution. I think I have to take the exp of each side, but I am not sure excatly what way I go about this, so if someone could give me some advice, that would be fantastic.

Sean

2. Feb 7, 2009

### Hootenanny

Staff Emeritus
HINTS:

(1) For what values of $\gamma$ is $\ln\gamma$ defined?

(2) For what values of $\eta$ is $\sqrt{\eta}$ defined?