What is the smallest integer n for which 25ⁿ >5¹² ?

Created: 1 year ago | Updated: 1 year ago

Updated: 1 year ago

Bangladesh University of Professionals (BUP) Faculty of Business Studies(FBS) 2020-2021 উচ্চতর গণিত সমতলে বস্তুকণার গতি (Motion of particles in a plane)

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Best Ans:

We can start by dividing 512 by 25 to get an upper bound on n.

512 / 25 = 20.48

This means that n must be greater than 20. We can then iterate from 21 up until we find a value of n for which 25n > 512.

25 * 21 = 525

Therefore, the smallest integer n for which 25n > 512 is 7.

Answer: 7

1 year ago

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Sakib Uddin Rony

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