# rearrange exponential formula

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• Jun 27th 2010, 09:42 PM
monkeymagic
rearrange exponential formula
Hi,

I'm trying to rearrange this formula :

y = x*((1-(0.92^((x/2-120)/10+1)))/0.08)

to make x the subject ie. x = ...

Can someone show me how I can do this?

Thanks in advance.
• Jun 28th 2010, 12:53 PM
HallsofIvy
Quote:

Originally Posted by monkeymagic
Hi,

I'm trying to rearrange this formula :

y = x*((1-(0.92^((x/2-120)/10+1)))/0.08)

to make x the subject ie. x = ...

Can someone show me how I can do this?

Thanks in advance.

That has x both in the exponent of a number and just multiplied so you will not be able to solve it with "elementary" functions.

You might be able to rewrite it so that you could solve it in terms of "Lambert's W function" which is defined as the inverse function to $f(x)= xe^x$.