Question

If 2^x=x^2 , find x.​

Answer 1

x = 2 or x = 4

Explanation:

The equation:

• 
  `2^(x) = x^(2)`

Has two solutions:

• x = 2 or x = 4.

The values of x can be found by graphing the two functions (
`y = 2^(x)` and
`y = x^(2)`) and finding their points of intersection, or you can use numerical methods to solve the equation.

To check our work, we can simply insert 2 and 4 in as y.

For 2:

• 
  `2^(2) = 2^(2)`

You can see that it is the same.

For 4:

• 
  `2^(4) = 4^(2)`

• (2 × 2 × 2 × 2) = (4 × 4)

• 16 = 16

They are also the same.

Therefore, x can equal either 2 or 4.