WombatRPGs Home Forum Index Downloads & Games Arcade

Accumulating Equation

 
This forum is locked: you cannot post, reply to, or edit topics.   This topic is locked: you cannot edit posts or make replies.    WombatRPGs - Forum Index -> Forum Games
View previous topic :: View next topic  
Author Message
Spock_Logic147
Senior Member


Joined on: 06 Jun 2008
Posts: 1469

PostPosted: Mon Mar 01, 2010 8:48 pm    Post subject: Accumulating Equation Reply with quote

In this game, we will continuously create an equation in which you have to solve for x. How it works:

I will start off the game with something. The poster after me can change or add a value or symbol to the equation, but must first post the current value of x (as determined by the equation of the poster above).

The equation continues to build until someone either gets the wrong value for x (must be watched by other posters) or they make an equation that cannot be solved. The person who has wronged then receives 2 SB. A new equation can be created by whoever posts next...

Rules:

-All numbers must be in base 10.
-You may only add or change one operand or one operator in your equation mod
-Calcnoobs, let's try to not immediately kill the game...
-Yes...you must list both values for x in cases like square roots

For your fancy math symbols, use <a href="http://brofi.st/s/6d4">this</a> EDIT: Had to shorten URL

START:


_________________
Here's the thing...
Back to top
View user's profile Send private message Send e-mail
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Mon Mar 01, 2010 10:58 pm    Post subject: Reply with quote

x=0.5

[img]http://www.sitmo.com/gg/latex/latex2png.2.php?z=175&eq=e^\frac{2}{x}%3D4[/img]
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
Spock_Logic147
Senior Member


Joined on: 06 Jun 2008
Posts: 1469

PostPosted: Tue Mar 02, 2010 3:08 am    Post subject: Reply with quote

Apparently the linked image does not work..that sucks. Guess imageshack is needed... Here was Jmick's equation:



cmon guys..this could get interesting
_________________
Here's the thing...
Back to top
View user's profile Send private message Send e-mail
psy_wombats
Founder


Joined on: 02 Apr 2006
Posts: 9381

PostPosted: Tue Mar 02, 2010 3:44 am    Post subject: Reply with quote

x = 1/ln(2)


_________________
When Wombats Strike!
Back to top
View user's profile Send private message Send e-mail Blog Visit poster's website AIM Address
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Tue Mar 02, 2010 4:57 pm    Post subject: Reply with quote

x=ln(4)

e^(sin(2x)) = 4^x
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
psy_wombats
Founder


Joined on: 02 Apr 2006
Posts: 9381

PostPosted: Tue Mar 02, 2010 5:07 pm    Post subject: Reply with quote

Ha, whoops, I accidentally changed 2 things... That was supposed to be 2/x instead of 2x, but in any case, pretty sure the only solution to the printed equation was x=0. ln(4) yields 16 for the left hand side and something like 7 for the right. So we'll go back to what I intended:

e^(2/x) = 4^x
_________________
When Wombats Strike!
Back to top
View user's profile Send private message Send e-mail Blog Visit poster's website AIM Address
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Tue Mar 02, 2010 5:10 pm    Post subject: Reply with quote

psy_wombats wrote:
Ha, whoops, I accidentally changed 2 things... That was supposed to be 2/x instead of 2x, but in any case, pretty sure the only solution to the printed equation was x=0. ln(4) yields 16 for the left hand side and something like 7 for the right. So we'll go back to what I intended:
take a natural log of both sides and you end up with 2x = x*ln(4)

divide by x and you get: x=ln(4)
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
psy_wombats
Founder


Joined on: 02 Apr 2006
Posts: 9381

PostPosted: Tue Mar 02, 2010 5:42 pm    Post subject: Reply with quote

ln(4^x) = 2x*ln(x), not x*ln(4)

That yields 2x = 2x * ln(4)

Which means x must be zero.
_________________
When Wombats Strike!
Back to top
View user's profile Send private message Send e-mail Blog Visit poster's website AIM Address
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Tue Mar 02, 2010 5:54 pm    Post subject: Reply with quote

psy_wombats wrote:
ln(4^x) = 2x*ln(x), not x*ln(4)
What? How does it? When you take a log of something, any powers can be turned into multipliers outside the function, so the x becomes a multiplier of the log. I have no idea where you are getting the 2x from.
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
psy_wombats
Founder


Joined on: 02 Apr 2006
Posts: 9381

PostPosted: Tue Mar 02, 2010 6:00 pm    Post subject: Reply with quote

ln(4) = 2 * ln(2)
I was just simplifying so the division worked out, that wasn't really where the error was. You'd have come up with the same answer. You had:
2x = x*ln(4)
Dividing by 2 yields:
2 = ln(4)
not
x = ln(4)
_________________
When Wombats Strike!
Back to top
View user's profile Send private message Send e-mail Blog Visit poster's website AIM Address
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Tue Mar 02, 2010 6:05 pm    Post subject: Reply with quote

aw shit i'm an idiot
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
quack_tape
Deity


Joined on: 20 May 2006
Posts: 10512

PostPosted: Tue Mar 02, 2010 6:12 pm    Post subject: Reply with quote

psy_wombats wrote:
ln(4^x) = 2x*ln(x), not x*ln(4)

Can you explain this bit one more time? I get why JMickle's wrong, but this...
_________________
Million Dollar Horse

"This is rather as if you imagine a puddle waking up one morning and thinking, 'This is an interesting world I find myself in - an interesting hole I find myself in - fits me rather neatly, doesn't it? In fact it fits me staggeringly well, must have been made to have me in it!'"
-Douglas Adams
Back to top
View user's profile Send private message Send e-mail Blog
JMickle
Veteran


Joined on: 03 Nov 2008
Posts: 1607

PostPosted: Tue Mar 02, 2010 6:33 pm    Post subject: Reply with quote

quack_tape wrote:
I get why JMickle's wrong, but this...
story of my life
_________________
Hello I am a regular person!
Back to top
View user's profile Send private message Visit poster's website
psy_wombats
Founder


Joined on: 02 Apr 2006
Posts: 9381

PostPosted: Tue Mar 02, 2010 7:57 pm    Post subject: Reply with quote

quack_tape wrote:
psy_wombats wrote:
ln(4^x) = 2x*ln(x), not x*ln(4)

Can you explain this bit one more time? I get why JMickle's wrong, but this...


ln(4^x) = x*ln(4) = 2x*ln(2)

It just made the point clearer; ln(4^x) = x*ln(4) isn't "wrong" per se.
_________________
When Wombats Strike!
Back to top
View user's profile Send private message Send e-mail Blog Visit poster's website AIM Address
Spock_Logic147
Senior Member


Joined on: 06 Jun 2008
Posts: 1469

PostPosted: Tue Mar 02, 2010 8:04 pm    Post subject: Reply with quote

new equation guys?
_________________
Here's the thing...
Back to top
View user's profile Send private message Send e-mail
quack_tape
Deity


Joined on: 20 May 2006
Posts: 10512

PostPosted: Tue Mar 02, 2010 8:44 pm    Post subject: Reply with quote

psy_wombats wrote:
quack_tape wrote:
psy_wombats wrote:
ln(4^x) = 2x*ln(x), not x*ln(4)

Can you explain this bit one more time? I get why JMickle's wrong, but this...


ln(4^x) = x*ln(4) = 2x*ln(2)

It just made the point clearer; ln(4^x) = x*ln(4) isn't "wrong" per se.

It was the 2x*ln(x) that was screwing with my mind. I guess it was just a typo.
_________________
Million Dollar Horse

"This is rather as if you imagine a puddle waking up one morning and thinking, 'This is an interesting world I find myself in - an interesting hole I find myself in - fits me rather neatly, doesn't it? In fact it fits me staggeringly well, must have been made to have me in it!'"
-Douglas Adams
Back to top
View user's profile Send private message Send e-mail Blog
quack_tape
Deity


Joined on: 20 May 2006
Posts: 10512

PostPosted: Tue Mar 02, 2010 8:48 pm    Post subject: Reply with quote

Fine, new equation(s):
x=2+y
y=2x
_________________
Million Dollar Horse

"This is rather as if you imagine a puddle waking up one morning and thinking, 'This is an interesting world I find myself in - an interesting hole I find myself in - fits me rather neatly, doesn't it? In fact it fits me staggeringly well, must have been made to have me in it!'"
-Douglas Adams
Back to top
View user's profile Send private message Send e-mail Blog
Display posts from previous:   
This forum is locked: you cannot post, reply to, or edit topics.   This topic is locked: you cannot edit posts or make replies.    WombatRPGs - Forum Index -> Forum Games All times are GMT
You are on page 1 out of 1

 
Go To Forum:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
You can attach files in this forum
You can download files in this forum


Powered by phpBB © 2001, 2005 phpBB Group

SmartFeed