Find the value of x | Euler’s Formula | Math Olympiad | Viral Maths | what is e
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- Опубліковано 19 сер 2024
- #findthevalueofx #euler
In this tutorial, it is explained that how to find the x value using the application of euler's formula.
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Proof of euler’s formula
Please, for your own sake. Dont divide by 0. Never.
That development is not correct.
Note that (e^x)^y = e^(xy) is NOT a valid identity in general with complex x and y. In your case, the wrong step is going from (e^(i2k\pi))^x=3 to e^(i2k\pi x)=3, because (e^(i2k\pi))^x is not equal to e^(i2k\pi x).
The correct identity is (e^x)^y = e^(y\log(e^x)), remembering that log is multivalued.
Please, see en.wikipedia.org/wiki/Exponentiation#Failure_of_power_and_logarithm_identities