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  3. What is the smallest integer k for which 64k＞414?

What is the smallest integer k for which 64k＞414?

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问题 What is the smallest integer k for which 64k＞414?
选项 A、4
B、5
C、6
D、7
E、8
答案B
解析 If we don’t want to do a lot of calculations, we’re going to have to manipulate the exponents. The first step is to put the 64 and the 4 in the same terms, so let’s make the 64=43 instead. Now the question is looking for the smallest integer k for which 43k＞414, which is the same as finding the smallest integer k for which 3k＞14. The best answer is 5, or B.
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