Math question for school? algebra.?

Question

For which whole number value(s) of x greater than 0 is the value of x2 (x to the second power) greater than the value of 2x (2 to the x power)? explain.

Answer 1

for example, lets make x 1

1^2 is 1

and  2^1 is 2  this does not work, so keep plugging in

2^2=2^2    <- - -  this is were x equals out the equation, so anything greater than 2 would make x^2 greater than 2^x

Answer 2

Make a table and see if you can find a pattern.

x^2  and 2^x

If x is 1, the results are 1 and 2.  Nope

If x is 2, they are equal (4 and 4). Nope

If x is 3, the results are 9 and 8.  WOOHOO!

If x is 4, the results are equal (16 and 16).  Nope

If x is 5, the results are 25 and 32.  Nope.

If x is 6, the results are 36 and 64.  Nope.

If x is 7, the results are 49 and 128.  Nope.

If x is 8, the results are 64 and 256.  Nope.

Hopefully, you can clearly see that the values will get further and further apart.  The only value is works for is 3.