Solve 126 = 3x^48

Evaluate

126 = 3 x^{4} \times 8

Multiply the terms

126 = 24 x^{4}

Swap the sides of the equation

24 x^{4} = 126

Divide both sides

\frac{24 x ^{4}}{24} = \frac{126}{24}

Divide the numbers

x^{4} = \frac{126}{24}

Cancel out the common factor 6

x^{4} = \frac{21}{4}

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

x = \pm 4 \frac{21}{4}

Simplify the expression

More Steps

x = \pm \frac{4 84}{2}

Separate the equation into 2 possible cases

x = \frac{4 84}{2} x = - \frac{4 84}{2}

Solution

x_{1} = - \frac{4 84}{2}, x_{2} = \frac{4 84}{2}

Alternative Form

x_{1} \approx - 1.5137, x_{2} \approx 1.5137

Solve the equation