Solve for x

: x8=120
(1 point)
x=

1 answer

To solve for \( x \) in the equation \( x^8 = 120 \), you can take the eighth root of both sides:

\[ x = 120^{1/8} \]

Now, calculating \( 120^{1/8} \):

  1. First, find \( 120^{1/8} \) using a calculator or exponentiation.

    \( 120^{1/8} \approx 2.087 \) (approximately).

So the solution is:

\[ x \approx 2.087 \]

If you need a more precise answer, you can also express it as:

\[ x \approx 2.0865 \]

The exact answer is \( x = 120^{1/8} \).

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