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

Mar 9, 2018

There is no real solution.

#### Explanation:

${5}^{x} = - {4}^{- x + 4}$

${5}^{x} = \frac{- 256}{4} ^ x$

Plotting ${5}^{x}$ in red and $\frac{- 256}{4} ^ x$ in green using the Desmos graphic calculator.

We can see that there is no point of intersection.

Hence, there is no real solution.