SOLUTION: Locate the region represented by the complex number z in the Argand plane in case of the following : log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2. Please send step b

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Locate the region represented by the complex number z in the Argand plane in case of the following : log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2. Please send step b      Log On


   



Question 917357: Locate the region represented by the complex number z in the Argand plane in case of the following :
log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2.
Please send step by step solution for the above question.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
here goes,
log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2 =
log((abs(z-2)+5)/(4*abs(z-2)-4)) / log( 3^(1/2) / 2) < 2
the region is bounded by the following three points,
(0,0), (0,2), (6,2)