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Math Help - Complex number(exponential form)

  1. #1
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    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...
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  2. #2
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    Quote Originally Posted by nameck View Post
    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. 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.
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