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   Math problem that came to me in a dream
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   Author  Topic: Math problem that came to me in a dream  (Read 1403 times)
marsh8472
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Math problem that came to me in a dream  
« on: Jun 4th, 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
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Re: Math problem that came to me in a dream  
« Reply #1 on: Jun 4th, 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
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Re: Math problem that came to me in a dream  
« Reply #2 on: Jun 5th, 2014, 2:56pm »
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I think if there were a simple way of manipulating Ax + Bx = C, people would have solved Fermat's last theorem a lot sooner! Smiley
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BMAD
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Re: Math problem that came to me in a dream  
« Reply #3 on: Jun 5th, 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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