# Math Help - Ln problem

1. ## Ln problem

Hi

Im halfway though a homework problem and i was hoping for a little insight into how one would go about solving the problem.

Thanks for whatever you can offer!

The question:

$\ln(y+\sqrt{2y-1})+\ln(y-\sqrt{2y-1})=0$

So far ive got them all to the same side, added the logs and brought it down to $\ln(y^2-2y-1)=0$ and was wondering how to remove the ln in order to solve the equation?

Thank you very much

2. It's actually $\ln(y^2-2y+1)=0,$ and this is pretty familiar.

3. So why not give us a clue?

4. here's a big clue:

if:

$\ln \left( {y^2 - 2y + 1} \right) = 0
$

then:

$y^2 - 2y + 1 = 1
$

can you continue?

5. Yeah, i think so; thanks.

I just had to raise each side as a power of e to get rid of ln right?

6. Originally Posted by farso
Yeah, i think so; thanks.

I just had to raise each side as a power of e to get rid of ln right?
yeah, that step is commonly refereed to as "anti-logging"