Question

Help me out with this question please...

Answer 1

Is it true that x= e^lnx for all real values of x

Answer 2

consider this f(x)=eln(sin(x)) f:R-->R.
Can we write this function defination like this f(x)=x f:R-->R
I think no because if we put x as any negative number in first function(function in first line) then there will no solution exist for this but if we put x as any negative number in second function then their will be a solution.
So does it mean that eln(x)=x Is not true always.
ln represent natural log wih base e. R represent set of all real numbers.

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Answer 3

I dont take credit

Answer 4

@Saeeddiscover What do you think ?... I am getting confused.

Answer 5

go to the link

Answer 6

got it :)

Answer 7

Well ln(x) is undefined if x is negative

Answer 8

Do note that x=ln(e^x) for all real number x