Find 2 natural numbers a, b, such that b > a and a^b = b^a

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afritts1987

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Find Two Natural Numbers a and b such that...

b>a and a^b = b^a

I cant figure this problem out. I tried a = -2 and b = 2 but then realized that Natural Numbers are positive numbers. and that you wouldnt be able to take an exponent to a negative number. How can I figure this out??
 
Re: Natural Numbers

afritts1987 said:
Find Two Natural Numbers a and b such that...

b>a and a^b = b^a

I cant figure this problem out. I tried a = -2 and b = 2 but then realized that Natural Numbers are positive numbers. and that you wouldnt be able to take an exponent to a negative number. How can I figure this out??
Click to expand...

Try every pair from 1 to 5 - you'll have 20 pairs. You will find a pair that satisfies the condition
 
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