Solve X*3^-x*1/27=81

$$X \cdot 3 ^ { - x } \cdot \frac { 1 } { 27 } = 81$$

Solve for X

$$X=2187\times 3^{x}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{27\times 3^{x}}X=81$$

Divide both sides by \frac{1}{27}\times 3^{-x}.

$$\frac{\frac{1}{27\times 3^{x}}X\times 27\times 3^{x}}{1}=\frac{81\times 27\times 3^{x}}{1}$$

Dividing by \frac{1}{27}\times 3^{-x} undoes the multiplication by \frac{1}{27}\times 3^{-x}.

$$X=\frac{81\times 27\times 3^{x}}{1}$$

Divide 81 by \frac{1}{27}\times 3^{-x}.

$$X=2187\times 3^{x}$$

Solve for x (complex solution)

$$x=\log_{3}\left(X\right)-\frac{2\pi n_{1}i}{\ln(3)}-7$$

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

$$X\neq 0$$

Solve for x

$$x=\log_{3}\left(X\right)-7$$

$$X>0$$