Question6. Find the positive value of $x$ that solves the following equation: $$x^{\infty}=\sum_{k=0}^{30}\binom{30}{k} 20^{30-k}$$
ANS: $\qquad$

Studdy Solution
Determine the value of $x$:
Since $x^{\infty} = 21^{30}$ and $x^{\infty}$ is finite and non-zero, $x$ must be equal to 1.
Therefore, the positive value of $x$ that satisfies the equation is:
$$\boxed{1}$$