What is the solution of x^2 = 16^x?

x = -0.5.

Step-by-step explanation:

x^2 = 16^x

One way to do this is to use 2 graphs  y = x^2 and y = 16^x  .

The solution  is where the 2 graphs intersect.

The answer is x = -0.5.

we have been given the equation and we need to solve it   using inverse operations.

2 is in addition with with x^3. hence, in order to eliminate 2 from the left hand side, we need to do the inverse operation of addition which is subtraction.

subtract 2 from both sides of the equation

now, we have to get rid of the cube. hence, we do the inverse operation of cube which is cube root. thus, we have