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equal in different bases 11001_? = 54001_{10}

Source: 2020 Dürer Math Competition Finals Day2 E2 https://artofproblemsolving.com/community/c1622639_2020_

January 7, 2022
number theory

Problem Statement

What number should we put in place of the question mark such that the following statement becomes true? 11001?=540011011001_? = 54001_{10} A number written in the subscript means which base the number is in.