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TranceAddict Forums > Main Forums > Chill Out Room > 3^x - 2*3^(1-x) = 1
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DJ Cinos
official ta furhead



Registered: Sep 2003
Location: Inside the reactor

quote:
Originally posted by piggy
Divide both sides by 3^(1-x),
this gives you 3^(2x-1) - 2 = 3^(x-1).

Rearrange to get (1/3)*3^2x - (1/3)*3^x - 2 = 0

Let y = 3^x, then solve as a regular quadratic equation.

This gives you y = -2, 3

3 = 3^x , so x = 1.


Right. Thanks for the explanation. I still have trouble getting it, but that's just my own stupidity.


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Old Post Feb-12-2006 20:11  Finland
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Cloudburst
I am the maximum



Registered: Oct 2003
Location: Jötebårj

Mathematica FTW...


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Old Post Feb-12-2006 20:13  Finland
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sensorium
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Registered: Jun 2004
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Cheater!


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Old Post Feb-12-2006 20:15  United States
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kadomony
FRENCH EXPRESS



Registered: Jul 2004
Location: Philly

use the force.


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Old Post Feb-12-2006 23:03  United States
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Grrrrr
Supreme tranceaddict



Registered: Mar 2005
Location: Cambridge/Sheffield

WRONG!


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Last edited by Grrrrr on Feb-12-2006 at 23:21

Old Post Feb-12-2006 23:10  England
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Jocker
whatup homie



Registered: Feb 2001
Location: Pittsburgh, PA

quote:
Originally posted by piggy
Divide both sides by 3^(1-x),
this gives you 3^(2x-1) - 2 = 3^(x-1).

Rearrange to get (1/3)*3^2x - (1/3)*3^x - 2 = 0

Let y = 3^x, then solve as a regular quadratic equation.

This gives you y = -2, 3

3 = 3^x , so x = 1.


correct, but you also have the second root, -2 = 3^x, solution to which involves complex numbers.


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Old Post Feb-12-2006 23:15  Russia
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yujie__
Supreme tranceaddict



Registered: Mar 2001
Location: Somewhere over the Rainbow

roundhouse kick it


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Old Post Feb-13-2006 02:18  United States
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ivanbee
Supreme tranceaddict



Registered: Aug 2005
Location: -

the square root of an isosceles triangle is equal to the sum of it's sides

Old Post Feb-13-2006 02:24 
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plastikE
Chief



Registered: Jul 2001
Location: AZ

log3^x - log6^(1-x) = log 1

x * log3 - (1-x) * log6 = log1

.47712x - .778 - .778x = 0

-.30088x = .778

x = -2.2587

?

Old Post Feb-13-2006 04:10  United States
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Mag1k
muhahahahahah



Registered: Sep 2005
Location: Neverland ;-)

Just out of interest what grade is this for you?

Old Post Feb-13-2006 04:45  Russia
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PaperBag831
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Registered: Jan 2006
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u + me = us.


Old Post Feb-13-2006 04:55  Israel
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Cloudburst
I am the maximum



Registered: Oct 2003
Location: Jötebårj

quote:
Originally posted by Jocker
correct, but you also have the second root, -2 = 3^x, solution to which involves complex numbers.


quote:
Originally posted by Cloudburst
Mathematica FTW...




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Old Post Feb-13-2006 09:57  Finland
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