Asked by ogboyeb
Given that 3^x + 4^x =5^x. Solve for x
Answers
Answered by
Reiny
could be a very nasty equation
but ....
3^x + 4^x = 5^x
by inspection and recall, I know
that 3^2 + 4^2 = 5^2
(did you recognize the 3-4-5 right-angled triangle)
so x = 2
now suppose it had been
3^x + 4^x = 6^x
look at Wolfram's solution
http://www.wolframalpha.com/input/?i=3%5Ex+%2B+4%5Ex+%3D6%5Ex
x = 1.29317
Now, how do you think they got that ?
but ....
3^x + 4^x = 5^x
by inspection and recall, I know
that 3^2 + 4^2 = 5^2
(did you recognize the 3-4-5 right-angled triangle)
so x = 2
now suppose it had been
3^x + 4^x = 6^x
look at Wolfram's solution
http://www.wolframalpha.com/input/?i=3%5Ex+%2B+4%5Ex+%3D6%5Ex
x = 1.29317
Now, how do you think they got that ?
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