Buix0065 wrote:If 5^n > 10,000 and n is an integer, what is the smallest possible value of n?
Answer:
6
Please tell me your reasoning.
My Kaplan Premier book assumes that I can use a calculator on the GMAT... A little frustrating when I'm trying to read the explanation, for solving a problem.[/spoiler]
Another approach would be to ballpark:
5^3 = 125.
5^4 = 5*125 ≈ 600.
5^5 ≈ 5*600 = 3000.
5^6 ≈ 5*3000 = 15,000.
Thus, n=6 is the smallest value that will work. Since 5^5 is nowhere close to 10,000, we don't have to worry about being that exact.
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