Complicated Log problem

**mwok** · December 18th 2008, 10:10 AM

Solve for x. My solution is attached but I don't know the next step.

**galactus** · December 18th 2008, 10:21 AM

You got a little misconstrued.

$\frac{log(x+2)}{log(2)}=\frac{log(8)}{log(2)}-\frac{log(x)}{log(2)}$

$log(x+2)+log(x)=log(8)$

$log(x(x+2))=log(8)$

$x^{2}+2x-8=0$

There will be two solutions, only one is valid.

**mwok** · December 18th 2008, 10:40 AM

Ah thanks.

**mwok** · December 18th 2008, 10:44 AM

Wait...with

How did you get rid of the log on both sides?

Nevermind, got it. Thanks!

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