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TranceAddict Forums > Main Forums > Chill Out Room > 3^x - 2*3^(1-x) = 1
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PaperBag831
Senior tranceaddict



Registered: Jan 2006
Location: atl ho, georgia
Re: 3^x - 2*3^(1-x) = 1

quote:
Originally posted by DJ Cinos
How does solve a beast such as this? I know it should be easy, but I just can't do it.

Any help appreciated.



make the whole thing equal zero, so you just add a -1 to the equation. now put it in your calculator in the Y= part, and it'll form a graph. wherever that graph crosses that x-axis, thats your answer

Old Post Feb-12-2006 19:43  Israel
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DJ Cinos
official ta furhead



Registered: Sep 2003
Location: Inside the reactor

quote:
Originally posted by sensorium
You might be the best note taker ever.


No, but I don't take classes in English, smartass. They're called "Exponentiallagar" here, which directly translates to "Exponential Laws"


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Old Post Feb-12-2006 19:44  Finland
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DJ Cinos
official ta furhead



Registered: Sep 2003
Location: Inside the reactor
Re: Re: 3^x - 2*3^(1-x) = 1

quote:
Originally posted by PaperBag831
make the whole thing equal zero, so you just add a -1 to the equation. now put it in your calculator in the Y= part, and it'll form a graph. wherever that graph crosses that x-axis, thats your answer



The thing is, we can't use graph calculators. It'd be easy with one, yes... but we have to do it manually.


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Old Post Feb-12-2006 19:44  Finland
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Marc Summers
I must behave



Registered: Jan 2005
Location: New York, USA

quote:
Originally posted by PaperBag831
MADD = mathematicians against drunk deriving.

dont drink and derive!


omg... that joke was lame as cheese


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Old Post Feb-12-2006 19:47 
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LeopoldStotch
Suapremae tranecadictt



Registered: Jan 2005
Location: Yawbs,Giaks,and Automobiles

(3^x) - (2) * (3^(1-x)) = 1

3^x * 3^(1-x) = 3

"3" is a like base.
figure the rest.



[edit]
whoops. that's going to give you 0.
open a textbook. it's a lot better for you.


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Old Post Feb-12-2006 19:47  United States
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DJ Cinos
official ta furhead



Registered: Sep 2003
Location: Inside the reactor

Are you sure it works like that?

(hint: no)

EDIT: Oh, you noticed it yourself. Ah well, there aren't any examples of this in my books either. I'd better just concentrate on the other stuff.


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Old Post Feb-12-2006 19:49  Finland
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PaperBag831
Senior tranceaddict



Registered: Jan 2006
Location: atl ho, georgia

quote:
Originally posted by Marc Summers
omg... that joke was lame as cheese



its on a poster in the front of my math room

Old Post Feb-12-2006 19:50  Israel
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PaperBag831
Senior tranceaddict



Registered: Jan 2006
Location: atl ho, georgia

turn 3^x into log

Old Post Feb-12-2006 19:51  Israel
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Yan
fauxhawk



Registered: Jul 2003
Location: Wano

I'm sure this will help you out somehow.

Old Post Feb-12-2006 19:51 
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DJ Cinos
official ta furhead



Registered: Sep 2003
Location: Inside the reactor

quote:
Originally posted by Yan
I'm sure this will help you out somehow.


It's not about derivatives.

However, I found an entry on Exponents too, which COULD be of use.


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Old Post Feb-12-2006 20:00  Finland
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piggy
jace



Registered: Sep 2002
Location: Unionville, Toronto

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.

Old Post Feb-12-2006 20:03  Canada
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sensorium
Supreme tranceaddict



Registered: Jun 2004
Location:

3^x - 6/3^x - 1 = 0
3^x - 2/1^x - 1 = 0 (1^x)
3^x^2 - 2 - 1^x = 0
3^x^2 - 1^x - 2 = 0
(3^x + 2)(1^x - 1) = 0

3^x = -2 1^x = 1

I forgot.


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Old Post Feb-12-2006 20:10  United States
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