SOLUTION: Calculate all of the solutions of the following equation: e^(-z+5) = 2i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Calculate all of the solutions of the following equation: e^(-z+5) = 2i      Log On


   

Question 464116: Calculate all of the solutions of the following equation:
e^(-z+5) = 2i
Found 2 solutions by richard1234, shakeel:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that



Hence, all we need to solve is







Note that we can replace pi/2 with 5pi/2, 9pi/2, ... because e^{ix} is periodic with period 2pi. The general solution is

where n is any integer.

Answer by shakeel(1) About Me  (Show Source):
You can put this solution on YOUR website!

Hence, all we need to solve is



Note that we can replace pi/2 with 5pi/2, 9pi/2, ... because e^{ix} is periodic with period 2pi. The general solution is
where n is any integer.