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Toronto Math Forum
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MAT334--2020F
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MAT334--Tests and Quizzes
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Test 1
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TT1 2020S Main Sitting
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Topic: TT1 2020S Main Sitting (Read 4530 times)
jeyara85
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TT1 2020S Main Sitting
«
on:
October 15, 2020, 05:59:50 PM »
For the step, 6z=1/2log(2)+(3pi/4+2pin)i, why is it log(2) and not log(sqrt2) because I thought it was log(lzl). Also where did the 1/2 come from?
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Last Edit: October 15, 2020, 06:01:31 PM by jeyara85
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RunboZhang
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Re: TT1 2020S Main Sitting
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Reply #1 on:
October 15, 2020, 06:19:19 PM »
Actually it is $log(2^{\frac {1}{2}})$. But by one property of log function, $log(2^{\frac {1}{2}}) = \frac{1}{2} \cdot log(2)$
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jeyara85
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Re: TT1 2020S Main Sitting
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Reply #2 on:
October 15, 2020, 08:52:42 PM »
Oh okay that makes sense thank you!
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Toronto Math Forum
»
MAT334--2020F
»
MAT334--Tests and Quizzes
»
Test 1
»
TT1 2020S Main Sitting