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GMAT Problem Solving (PS) | What is the largest integer k for which 81^k < 3^27 ?

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nguyendinhtuong wrote:

What is the largest integer \(k\) for which \(81^k < 3^{27}\)?

A. 6
B. 7
C. 8
D. 9
E. 10

Source: GMAT Free


\(81^k < 3^{27}\)

Or,\(3^{4k} < 3^{27}\)

Or,\(4k < 27\)

Or,\(k < \frac{27}{4}\)

Or,\(k < 6.75\)

So, The largest integer value will be (A) 6
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