Solve by Graphing -(6)^(x-1)+5=(2/3)^(2-x)

$- {(6)}^{x - 1} + 5 = {(\frac{2}{3})}^{2 - x}$

Step 1

Remove parentheses.

$- 6^{x - 1} + 5 = {(\frac{2}{3})}^{2 - x}$

Step 2

Apply the product rule to $\frac{2}{3}$ .

$- 6^{x - 1} + 5 = \frac{2^{2 - x}}{3^{2 - x}}$

Step 3

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

$x \approx 1.78522264$

Step 4