Solve y=3n-9^x

$$y = 3 n - 9 ^ { x }$$

Solve for n

$$n=\frac{y+9^{x}}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$3n-9^{x}=y$$

Add 9^{x} to both sides.

$$3n=y+9^{x}$$

Divide both sides by 3.

$$\frac{3n}{3}=\frac{y+9^{x}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$n=\frac{y+9^{x}}{3}$$

Solve for x (complex solution)

$$x=\frac{\log_{3}\left(-\left(y-3n\right)\right)}{2}+\frac{\pi n_{1}i}{\ln(3)}$$

$$n_{1}\in \mathrm{Z}$$

$$y\neq 3n$$

Solve for x

$$x=\frac{\log_{3}\left(3n-y\right)}{2}$$

$$y<3n$$