Need something solving PROBLEM AHOY

[SolStis]

Need something solving! PROBLEM AHOY!

Hi there,

Im in dire need of a problem solving because i really cba to do it at this time of nite and need sorting by 2moz morning... putting my faith in PF here... I don't think its too diff I just havnt done any algebra for a while and need some assistance.

Need this rearranging for Z:

1=-((e^ZL)+(e^Zw))

Any help much appreciated!


Regards

Sol

 

[mathman]

If L and w are arbitrary (assuming multiplying Z in the exponents) there is no closed form solution for Z.

 

[SolStis]

ok mate, well is there any way i can find it if L and W arnt arbitrary?

 

[The Chaz]

In real numbers, the problem is immediate: no linear combination of powers of e will ever equal -1.

In complex numbers, L = W would make things a lot simpler, but that's trivial...

 

[SolStis]

Ok, well in this instance i need it solving for w = 24 and L = 3500, but i would like a general solution so i can apply any values for L and w

 

[The Chaz]

Ok, well in this instance i need it solving for w = 24 and L = 3500, but i would like a general solution so i can apply any values for L and w

See https://www.physicsforums.com/showpost.php?p=2787329&postcount=2"