# Complex number(exponential form)

• Dec 7th 2009, 10:16 PM
nameck
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... (Bow)
• Dec 8th 2009, 02:35 AM
HallsofIvy
Quote:

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... (Bow)

Well, no, it's not correct- not for the number you gave. $1+ 3^{1/2}= 1+ \sqrt{3}$ is a positive real number and so $r= 1+ \sqrt{2}$ while $\omega= 0$.

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