Solve yx=2*left(7*4right)^x2

$$yx = 2 \times { \left(7 \times 4 \right) }^{ x2 }$$

Solve for x

$$x=\frac{2\times 28^{x_{2}}}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply 7 and 4 to get 28.

$$yx=2\times 28^{x_{2}}$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{2\times 28^{x_{2}}}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{2\times 28^{x_{2}}}{y}$$

Solve for x_2 (complex solution)

$$x_{2}=\frac{\ln(xy)-\ln(2)}{\ln(28)}+\frac{2\pi n_{1}i}{\ln(28)}$$

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

$$x\neq 0\text{ and }y\neq 0$$

Solve for x_2

$$x_{2}=\frac{\ln(xy)-\ln(2)}{\ln(28)}$$

$$\left(y<0\text{ and }x<0\right)\text{ or }\left(y>0\text{ and }x>0\right)$$