Toronto Math Forum
MAT3342020F => MAT334Tests and Quizzes => Test 1 => Topic started 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?

Actually it is $log(2^{\frac {1}{2}})$. But by one property of log function, $log(2^{\frac {1}{2}}) = \frac{1}{2} \cdot log(2)$

Oh okay that makes sense thank you!