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Topic: Math problem that came to me in a dream (Read 1403 times) 

marsh8472
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Posts: 27


Math problem that came to me in a dream
« on: Jun 4^{th}, 2014, 9:30pm » 
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I was dreaming about a math class I was in. The professor gave us this problem: 3^2.5x + 3^3.3x = 18 Traditional log rules don't seem to apply to simply this. I know the answer is about 0.67600464 but how would you go about finding the precise answer?


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towr
wu::riddles Moderator Uberpuzzler
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Posts: 13730


Re: Math problem that came to me in a dream
« Reply #1 on: Jun 4^{th}, 2014, 10:39pm » 
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I don't think there is a precise answer using simple function/operators.


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dudiobugtron
Uberpuzzler
Posts: 735


Re: Math problem that came to me in a dream
« Reply #2 on: Jun 5^{th}, 2014, 2:56pm » 
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I think if there were a simple way of manipulating A^{x} + B^{x} = C, people would have solved Fermat's last theorem a lot sooner!


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BMAD
Junior Member
Posts: 57


Re: Math problem that came to me in a dream
« Reply #3 on: Jun 5^{th}, 2014, 7:25pm » 
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Not sure of this is what you mean but: 3^2.5x + 3^3.3x =18 U = 3^2.5 (3^(2.5))^x) + (3^(2.5)^1.32x) =18 U^x + U^1.32x = 18 R = U^x R + R^1.32 = 18 R = 6.4023655 (aprox) U^x = 6.4023655 (3^2.5)^x = 6.4023655 3^2.5x=6.4023655 X = .676


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