How Do You Solve \( e^{x-1} = 5 - y^2 + y \) for x?

[masterchiefo]

Homework Statement

Solve e ^x-1 = 5-y²+y for x

Homework Equations

/

The Attempt at a Solution

ln(e^x-1)=ln(5-y²+y)
x-1=ln(5-y²+y)
x=ln(5-y²+y)+1

can I go any further ?

 

[Delta2]

Nope, just mind one thing, you have to include a constraint that 5-y²+y>0 which holds only if y satisfies an inequality regarding its values.

Btw i just noticed one small "typo", it should be x=ln(..)+1 not -1...

 

[masterchiefo]

Nope, just mind one thing, you have to include a constraint that 5-y²+y>0 which holds only if y satisfies an inequality regarding its values.

Btw i just noticed one small "typo", it should be x=ln(..)+1 not -1...

thank you very much for the help man :)
oops fixed that typo