Question

How do you use the graphing calculator to solve `5^x=-4^(-x+4)`?

Answer 1

There is no real solution.

Explanation:

`5^x =-4^(-x+4)`

`5^x = (-256)/4^x`

Plotting `5^x` in red and `(-256)/4^x` in green using the Desmos graphic calculator.

We can see that there is no point of intersection.

Hence, there is no real solution.