Write as a Function of x (81^x)/(9^(5x-8))=9^(f(x))

$\frac{81^{x}}{9^{5 x - 8}} = 9^{f (x)}$

Step 1

Rewrite the equation as $9^{f (x)} = \frac{81^{x}}{9^{5 x - 8}}$ .

$9^{f (x)} = \frac{81^{x}}{9^{5 x - 8}}$

Step 2

Subtract $9^{f (x)}$ from both sides of the equation.

$0 = \frac{81^{x}}{9^{5 x - 8}} - 9^{f (x)}$

Step 3

Rewrite the equation as $\frac{81^{x}}{9^{5 x - 8}} - 9^{f (x)} = 0$ .

$\frac{81^{x}}{9^{5 x - 8}} - 9^{f (x)} = 0$