MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 11
        find the integral solutions of the equation (1-i)^x=(2)^x
7 years ago

Answers : (4)

Sukhendra Reddy Rompally B.Tech Mining Machinery Engg, ISM Dhanbad
93 Points
							

Dear Student,

Taking Log on both sides,u get xlog1/logi = xlog2

U have log1=0 and log2 is not equal to 0,which means x has o be zero

and that is the only integral solution

THANKS

ALL THE BEST

PLZZZ APPROVE MY ANSWER IF YOU LIKE IT

7 years ago
Sukhendra Reddy Rompally B.Tech Mining Machinery Engg, ISM Dhanbad
93 Points
							

Dear Student,

Sorry for the wrong reply,i went wrong somewhere...

Anyways,taking Log on both sides,u get xLog(1-i) = x Log2

multiply and divide 1-i by root 2,u get 1-i/2^0.5 = e^-ipie/4

that is x( 0.5Log2 - i22/28 ) = xLog2

that is xLog2 = -i22/28 and x=0 are the solutions

clearly,x is imaginary if the 1st eqn is true,hence,x=0 is the only integral solution

 

THANKS

ALL THE BEST

PLZZZ APPROVE MY ASNWER IF YOU LIKE IT

7 years ago
mycroft holmes
272 Points
							

7 years ago
Vishva vivek singh
13 Points
							(1-i)^x=2^x1-iComplex number is of the from x+iyWhere x=1             Y=-1I 1-i l=√x^2+y^2l 1-i l=√2 Hence  l 1-i l^x=2^x  Putting value     (√2)^x=2^x     √2^x=(√2×√2)^x    √2^x=(√2)^2x  Comparing powers           x=2x           x-2x=0            -x=0              X=0
						
10 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 1,590 off

COUPON CODE: SELF10


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 233 off

COUPON CODE: SELF10

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details