1. ## Complex number(exponential form)

hey there.. i've try this question(below)..
but, i dont know whether my solution is correct or not..

Find a possible value for w that satisfies relation...
e^w = Z -->where z = 1 + 3^1/2

my solution....
r = 2
theta = pi/3
change z into exponential form...
z = 2e^i(pi/3)

hence, w = i(pi/3)

can anybody pleas guide me or verified my answer...

2. Originally Posted by nameck
hey there.. i've try this question(below)..
but, i dont know whether my solution is correct or not..

Find a possible value for w that satisfies relation...
e^w = Z -->where z = 1 + 3^1/2

my solution....
r = 2
theta = pi/3
change z into exponential form...
z = 2e^i(pi/3)

hence, w = i(pi/3)

can anybody pleas guide me or verified my answer...
Well, no, it's not correct- not for the number you gave. $\displaystyle 1+ 3^{1/2}= 1+ \sqrt{3}$ is a positive real number and so $\displaystyle r= 1+ \sqrt{2}$ while $\displaystyle \omega= 0$.

If you mean $\displaystyle z= 1+ i\sqrt{3}$, then it is correct.