Solve 9:y=3^x+2

$$9 : y = 3 ^ { x + 2 }$$

Solve for y

$$y=\frac{1}{3^{x}}$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$9=y\times 3^{x+2}$$

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

$$y\times 3^{x+2}=9$$

The equation is in standard form.

$$3^{x+2}y=9$$

Divide both sides by 3^{x+2}.

$$\frac{3^{x+2}y}{3^{x+2}}=\frac{9}{3^{x+2}}$$

Dividing by 3^{x+2} undoes the multiplication by 3^{x+2}.

$$y=\frac{9}{3^{x+2}}$$

Divide 9 by 3^{x+2}.

$$y=\frac{1}{3^{x}}$$

Variable y cannot be equal to 0.

$$y=\frac{1}{3^{x}}\text{, }y\neq 0$$

Solve for x (complex solution)

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

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

$$y\neq 0$$

Solve for x

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

$$y>0$$