To solve the equation \( x^4 = 7 \), you can take the fourth root of both sides.
This gives:
\[ x = \pm \sqrt[4]{7} \]
So the solutions are:
\[ x = \sqrt[4]{7} \quad \text{and} \quad x = -\sqrt[4]{7} \]
If you want a numerical approximation, the fourth root of 7 is approximately:
\[ \sqrt[4]{7} \approx 1.626 \]
Thus, the two solutions are approximately:
\[ x \approx 1.626 \quad \text{and} \quad x \approx -1.626 \]