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b200w

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## Homework Statement

Find the inverse equation (i.e. solve for x)

y=(e^x)/(1+2e^x)

**2. The attempt at a solution**

e^x = y(1+2e^x)

x = ln(y) + ln(1+2e^x)

?

Profit!

I can't figure out what to do with ln(1+2e^x) to get the x out of there so I can finish isolating x. I tried balancing it another way and ended up with x = ln(e^x - y) - ln(2y) which as far as I can tell is worse. Any suggestions? As far as I can tell I'm probably just missing something obvious but I've been sitting here for a while trying to figure it out...

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