(4^x)+(5^x)=6^x  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.


Postby jdouglasusn on Fri Nov 09, 2012 11:13 am

I'm having a ***** of a time with this. I know it will need logarithms.
Thanks in advance. No I'm not a student that need help with homework. I'm at work and we like putting problems on the board. However I like to know how to solve one before I put it up there. I have a feeling this might be complex.

(4^x)+(5^x) = 6^x

Thanks in advance.
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Postby stapel_eliz on Fri Nov 09, 2012 1:19 pm

You might want to look up "Fermat's Last Theorem" before investing too much time trying to find a whole-number solution. For non-whole-number solutions, a graph will probably be helpful. An approximation of the solution to this non-algebraic equation will likely be about as good as you can get. :wink:
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