To determine To prove: The given functions e − ln x = 1 x and e − ln ( sec x ) = cos x . Explanation Result used: Exponential rule: The exponential of the logarithmic function is e ln x = x for all x > 0 . Calculation: Consider the LHS e − ln x and apply the exponential rule as follows. e − ln x = e − 1 ⋅ ln x = ( e ln x ) − 1 = x − 1 = 1 x Also consider the other function whose LHS is e − ln sec x

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Chapter 1.5, Problem 1P

To determine

To prove: The given functions e−lnx=1x and e−ln(secx)=cosx.

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Chapter 1.4, Problem 18P

Chapter 1.5, Problem 2P

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Chapter 1 Solutions

Advanced Engineering Mathematics

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

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