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Example 25 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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo