SOLUTION: L*(1+p)^(12*z)=R*(1+r)^(z-1)*D*((C^z-1)/(C-1)). how do I solve this for z??

Algebra ->  Equations -> SOLUTION: L*(1+p)^(12*z)=R*(1+r)^(z-1)*D*((C^z-1)/(C-1)). how do I solve this for z??      Log On


   

Question 326432: L*(1+p)^(12*z)=R*(1+r)^(z-1)*D*((C^z-1)/(C-1)). how do I solve this for z??
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Take the log of both sides.
Then simplify
Remember
log%28%28AB%29%29=log%28%28A%29%29%2Blog%28%28B%29%29
log%28%28A%5En%29%29=nlog%28%28A%29%29
I'll do the left hand side to get you started.

log%28%28L%2A%281%2Bp%29%5E%2812z%29%29%29=log%28%28L%29%29%2B12z%2Alog%28%281%2Bp%29%29
Gather all the z terms on one side, all the constant terms on the other side.
You'll end up with a fraction with many log terms in the numerator and denominator.