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GMAT - Problem Solving - Exponents

What is the smallest integer n for which 25^n > 5^12 ? (more)

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

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10

Given:

25n > 512

52n > 512

since 5 > 1

2n > 12

n > 6

smallest integral value of n = 7

B is correct.