Solve 54/x^63/[x^6] =3

Evaluate

\frac{54}{x ^{6}} \times \frac{3}{x ^{6}} = 3

Find the domain

More Steps

\frac{54}{x ^{6}} \times \frac{3}{x ^{6}} = 3, x \neq = 0

Multiply the terms

More Steps

\frac{162}{x ^{12}} = 3

Cross multiply

162 = x^{12} \times 3

Simplify the equation

162 = 3 x^{12}

Rewrite the expression

3 \times 54 = 3 x^{12}

Evaluate

54 = x^{12}

Swap the sides of the equation

x^{12} = 54

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 1254

Separate the equation into 2 possible cases

x = 1254 x = - 1254

Check if the solution is in the defined range

x = 1254 x = - 1254, x \neq = 0

Find the intersection of the solution and the defined range

x = 1254 x = - 1254

Solution

x_{1} = - 1254, x_{2} = 1254

Alternative Form

x_{1} \approx - 1.394332, x_{2} \approx 1.394332

Solve the equation