Problem 1109

Daily Math Challenge - March 22, 2024



Here is a tricky puzzler.  Did you know that there exists a value of x such that when x3 and x4 are calculated that together all ten digits are produced exactly once?  For example, if x = 3 then 33 and 34 produce 27 and 81 which is only 4 of the 10 digits (1, 2, 7 and 8).  Once you determine the value of x that satisfies this condition, enter the value of x3 for the answer? 

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