Solve for x -12x+26=-(1/5)^(-x+2)+3

$- 12 x + 26 = - {(\frac{1}{5})}^{- x + 2} + 3$

Step 1

Simplify each term.

Apply the product rule to $\frac{1}{5}$ .

$- 12 x + 26 = - \frac{1^{- x + 2}}{5^{- x + 2}} + 3$

One to any power is one.

$- 12 x + 26 = - \frac{1}{5^{- x + 2}} + 3$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 2, 4$

Step 3