What number x is greater than x^n?

Submitted by Jhun Vert on

What number x > xn?
Where n = positive integer greater than 1.

esmilitar Mon, 04/17/2017 - 20:03

Hi sir I guess there is no possible answer or cant solved this.
Supposed that n is greater than 1 let say 2, then assumed that X = 1 so 1=1^2 this could not be X>X^2.
If X=2 ; then 2 is not greater than 2^2
My answer is no possible answer..cant solve
Even if I apply log cant solve. I guess no sufficient number of X is greater than X^n when n is a positive integer greater than 1.
Please correct me if I am wrong. Thank you your website is a great help for my self review in our upcoming SPLBE for Engineering board exam here in the middle east.

Jhun Vert Tue, 04/18/2017 - 06:02

This can be possible for x > 0 but x < 1. Example: 1/2 > 1/4.

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