Solve ic_{6}=4^n

$$i c _ { 6 } = 4 ^ { n }$$

Solve for c_6

$$c_{6}=-i\times 4^{n}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ic_{6}=4^{n}$$

Divide both sides by i.

$$\frac{ic_{6}}{i}=\frac{4^{n}}{i}$$

Dividing by i undoes the multiplication by i.

$$c_{6}=\frac{4^{n}}{i}$$

Divide 4^{n} by i.

$$c_{6}=-i\times 4^{n}$$

Solve for n

$$n=\frac{\log_{2}\left(ic_{6}\right)}{2}+\frac{\pi n_{1}i}{\ln(2)}$$

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

$$c_{6}\neq 0$$