Solve (x^63/63) (x^64/64) (x^65/65)=3

Evaluate

(x^{6} \times \frac{3}{63}) (x^{6} \times \frac{4}{64}) (x^{6} \times \frac{5}{65}) = 3

Remove the parentheses

x^{6} \times \frac{3}{63} x^{6} \times \frac{4}{64} x^{6} \times \frac{5}{65} = 3

Simplify

More Steps

\frac{1}{4368} x^{18} = 3

Multiply by the reciprocal

\frac{1}{4368} x^{18} \times 4368 = 3 \times 4368

Multiply

x^{18} = 3 \times 4368

Multiply

x^{18} = 13104

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

x = \pm 1813104

Separate the equation into 2 possible cases

x = 1813104 x = - 1813104

Solution

x_{1} = - 1813104, x_{2} = 1813104

Alternative Form

x_{1} \approx - 1.693342, x_{2} \approx 1.693342

Solve the equation