Question

Solve X^4=4^X assist by solving for value of x​

Answer 1

2

Explanation:

Its a hit and try method , mostly such questions have answer less than 5 . You may check its correct

Answer 2

x ∈ {−0.766664695962, 2, 4}

Explanation:

The equation is a combination of polynomial and exponential functions. There are no algebraic methods for solving such an equation. Graphical and iterative methods work nicely, though.

The attached graph shows integer solutions at x=2 and x=4. There is also an irrational negative solution near x = −0.766664695962. The latter was found by using Newton's method iteration on the graphical value of -0.767.