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# #14

Suppose $$x$$ is a positive real number such that {$$x$$} ,$$[x]$$ and $$x$$ are in a geometric progression.Find the least positive integer $$n$$ such that $$x^n > 100$$. Here $$[x]$$ denotes the integer part of $$x$$ and $${x} = x-[x]$$

Note by Vilakshan Gupta
2 months ago