Logarithms Questions

**Jampop** · October 27th 2009, 10:06 AM

Hey im currenty suck on this question:

3^x+2 = 2^1-x

Well so far ive got

x+2 log3 = 1-x log 2

but im not sure where to go from there

**orangeiv** · October 27th 2009, 11:10 AM

1) Expand the brackets

$xlog(3) + 2log(3) = log(2) - xlog(2)$

2) add $xlog(2)$ and subtract $2log(3)$ to both sides

$xlog(3) + xlog(2) = log(2) - 2log(3)$

3)This simplifies to

$xlog(6) = log(2) - log(9)$

4)Divide both sides by log(6)

$x = \frac{log(2) - log(9)}{log(6)}$

and there we go

**Jampop** · October 27th 2009, 12:11 PM

Ahh thanks

Just needed to know to get it to this form:

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