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Example 28 - Is it true that x= elog x for all real x? - Examples

Example 28 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Example 28 Is it true that x = 𝑒 log⁡𝑥 for all real x? x = e log x For x = 0 0 = elog 0 But log 0 is not defined. Hence, the equation is not defined for x = 0 For x < 0 x = e log x But log x is not defined for negative numbers Hence, equation is not defined for x < 0 For x > 0 x = e log x This is defined Hence, equation is defined for x > 0 Therefore, x = e log x is true for all positive values if x i.e. x > 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.