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NeXT Computers
 PostPost subject: An equation for the brave...        Posted: Fri May 06, 2011 1:15 pm 
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2^x+3^x=50

Do this without trial and error.
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Kenneth
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 1:34 pm 
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About 3.35282?
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orsg
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 1:36 pm 
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http://www.wolframalpha.com/input/?i=Solve+2%5Ex+%2B+3%5Ex%3D50

(the hardest part has been converting the ^ from the actual URL so that this forum will accept the link :D)
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NeXT Computers
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 3:35 pm 
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Thought it would take longer time to solve. You are right Kenneth, and to be precise: x=3,352823623213308
But please tell me, how did you solve it?
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bob_george33
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 3:46 pm 
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Either using a calculator or logarithms (for an exact answer).

Why are you asking?

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Biohead
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 7:30 pm 
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This is bugging me now... can anyone see where I'm going wrong? It's been a while since I've touched logs.

2^x + 3^x = 50
ln(2^x) + ln(3^x) = ln50
xln2 + xln3 = ln50
x(ln2 + ln3) = ln 50
x(ln6) = ln50
1.792x = 3.91
x= 2.182

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Ahmed Jebara
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 7:33 pm 
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Edited since the way is not correct


Last edited by Ahmed Jebara on Fri May 06, 2011 8:10 pm, edited 1 time in total.

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Biohead
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 7:37 pm 
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How come I'm getting an incorrect answer then? I didn't think it matter if I chose Ln, or Log10, or Log2 as long as I'm consistant.

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Ahmed Jebara
 PostPost subject: Re: An equation for the brave...        Posted: Fri May 06, 2011 7:44 pm 
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Edited: It will suck :( Looks like it's not solvable by ln or log, it needs Integration/derivation
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PetBoySherman
 PostPost subject: Re: An equation for the brave...        Posted: Thu May 12, 2011 10:50 pm 
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OK - now that my brain is turning completely to mush I am going to have to find my old college math books.....boy, the better half is going to have a fit when I start pulling those boxes out.......
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zamadatix
 PostPost subject: Re: An equation for the brave...        Posted: Thu May 12, 2011 11:12 pm 
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Not everything has an exact solution...
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PetBoySherman
 PostPost subject: Re: An equation for the brave...        Posted: Mon May 16, 2011 5:43 pm 
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It's knowing that I have the tools at my disposal and not remembering which to use that is making me a little nuts. It is all about zee little grey cells.....
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zamadatix
 PostPost subject: Re: An equation for the brave...        Posted: Tue May 17, 2011 3:56 am 
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Erm no... it's not solvable by exact means. Not everything's solution can be written exactly, take cos(x) = x for example.
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