Solve -48b=-6^x

$$- 48 b = - 6 ^ { x }$$

Solve for b

$$b=\frac{6^{x}}{48}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$-48b=-6^{x}$$

Divide both sides by -48.

$$\frac{-48b}{-48}=-\frac{6^{x}}{-48}$$

Dividing by -48 undoes the multiplication by -48.

$$b=-\frac{6^{x}}{-48}$$

Divide -6^{x} by -48.

$$b=\frac{6^{x}}{48}$$

Solve for x (complex solution)

$$x=\frac{\ln(b)+\ln(48)}{\ln(6)}+\frac{2\pi n_{1}i}{\ln(6)}$$

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

$$b\neq 0$$

Solve for x

$$x=\frac{\ln(b)+\ln(48)}{\ln(6)}$$

$$b>0$$