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Suppose a number x has the same integer representation in distinct integer bases a and b, where a < b. If x is a non-negative integer, what is the maximum possible value for x? How many digits does this number have in base b?

Suppose a number x has the same integer representation in distinct integer bases a and b, where a < b. If x is a non-negative integer, what is the maximum possible value for x? How many digits does this number have in base b?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7 Suppose a number x has the same integer representation in distinct integer bases a and b, where a < b. If x is a non-negative integer, what is the maximum possible value for x? How many digits does this number have in base b?
Transcribed Image Text:7 Suppose a number x has the same integer representation in distinct integer bases a and b, where a < b. If x is a non-negative integer, what is the maximum possible value for x? How many digits does this number have in base b?
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