CAT 2018 Number System Question (Medium)

Question

The smallest integer for which holds, is closest to

Accepted Answer

Step 1 Inequality given 4 n 17 19 --- Step 2 Rewrite 4 as 2 2 n 17 19 2 2n 17 19 --- Step 3 Take logarithm base 2 on both sides 2n 19 log_ 2 17 n 17 2 --- Step 4 Approximate value log_ 2 17 approx 4.09 2 approx 38.85 --- Step 5 Smallest integer greater than 38.85 is 39 --- Final Answer

CAT 2018

Quantitative

Number System

Medium

The smallest integer $n$ for which $4^n > 17^{19}$ holds, is closest to

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