Toronto Math Forum

MAT334--2020F => MAT334--Tests and Quizzes => Test 1 => Topic started by: jeyara85 on October 15, 2020, 05:59:50 PM

Title: TT1 2020S Main Sitting
Post by: jeyara85 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?
Title: Re: TT1 2020S Main Sitting
Post by: RunboZhang on October 15, 2020, 06:19:19 PM
Actually it is $log(2^{\frac {1}{2}})$. But by one property of log function, $log(2^{\frac {1}{2}}) = \frac{1}{2} \cdot log(2)$
Title: Re: TT1 2020S Main Sitting
Post by: jeyara85 on October 15, 2020, 08:52:42 PM
Oh okay that makes sense thank you!