This is a Test of Mathematics Solution Subjective 157 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

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## Problem

Evaluate

## Discussion

Let

Then

This implies –

Therefore answer will be \(e^{\log 2 – \frac {1}{2}}\)