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Algebra Level pending

For imaginary number i i such that i 2 = − 1 i^2 = -1 . What is the value of the expression below?

i π ln ⁡ ( i ) \LARGE \frac { i \pi}{\ln (i) }


The answer is 2.

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Sriram G by Sriram G , 22, India

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1 solution

Sriram G
Mar 2, 2015

Write a solution. e^ix= cosx+isinx. for x=pi/2, e^i pi/2 =i. therefore logi =i pi/2. therefor i*pi/logi =2

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