What is the answer to 3x^{-3}=81 ?

The answer to 3x^{-3}=81 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

Solve for x: 3x^{-3}=81

The solution is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

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3 x^{- 3} = 81

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

Solution steps

3 x^{- 3} = 81

Refine

\frac{3}{x ^{3}} = 81

Multiply both sides by

x^{3}

3 = 81 x^{3}

Solve

3 = 81 x^{3} : x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

\frac{1}{x} = c - \frac{1}{a}

y, x = \frac{19}{y}

324 = 16 x + 64 + \frac{64}{x}

\frac{6 x + 19}{2 x} = x + \frac{2}{5}

\frac{1}{p} = \frac{2}{4}

What is the answer to 3x^{-3}=81 ?
The answer to 3x^{-3}=81 is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i
Solve for x: 3x^{-3}=81
The solution is x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i