My Math Forum  

Go Back   My Math Forum > College Math Forum > Complex Analysis

Complex Analysis Complex Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 28th, 2012, 05:42 AM   #1
Senior Member
 
Joined: Apr 2010

Posts: 128
Thanks: 0

i don't know how to google is -3=2^x a possible complex no.?

i know complex number got square root -3 such that [ i ] x [ square root +3 ]

but is got imagery figures as solutions?
rnck is offline  
 
May 28th, 2012, 06:14 AM   #2
Math Team
 
Joined: Nov 2010
From: Greece, Thessaloniki

Posts: 1,989
Thanks: 133

Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus
Re: i don't know how to google is -3=2^x a possible complex

ZardoZ is offline  
July 5th, 2012, 10:56 AM   #3
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: i don't know how to google is -3=2^x a possible complex

To extend what Zardoz said, we can represent the number x+ iy as the point (x, y) in the complex plane and then change to polar coordinates r, with and . Further, since we can show that , . Taking the logarithm of that, . But sine and cosine are periodic with period so that for any integer n. And then . That's the reason for the "".
HallsofIvy is offline  
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
32x, complex, google



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
A mistake in google's calculator ? Semjase Algebra 2 September 15th, 2012 11:38 AM
Bing[Bot] and Google[Bot] agentredlum New Users 1 August 31st, 2012 12:23 AM
Today's Google Doodle trapezodial Physics 1 February 22nd, 2012 09:31 AM
I don't know how to google this question... rnck Physics 2 November 6th, 2011 02:26 PM
Google+ The Chaz New Users 11 July 16th, 2011 03:25 AM





Copyright © 2018 My Math Forum. All rights reserved.