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Topic: Math problem that came to me in a dream (Read 1430 times) |
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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
wu::riddles Moderator
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Some people are average, some are just mean.
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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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Wikipedia, Google, Mathworld, Integer sequence DB
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dudiobugtron
Uberpuzzler
Posts: 735
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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! 
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BMAD
Junior Member
Posts: 57
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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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