aime26-05

0.000

0/1 tests· math

Proposed solution

Let's break down the problem-solving process step by step:

1. First, let's clarify that the problem statement is asking for a real number $x$ satisfying $\sqrt[20]{x^{\log_{2026}x}}=26x$. This is because we are looking for a real number $x$ that satisfies the given equation.

2. Next, let's find the positive divisors of the product of all possible positive values of $x$. The product of all possible positive values of $x$ is 2026, which is the product of all possible positive values of $x$.

3. Finally, let's find the number of positive divisors of the product of all possible positive values of $x$. The product of all possible positive values of $x$ is 2026, which is the product of all possible positive values of $x$.

Now, we need to find the number of positive divisors of the product of all possible positive values of $x$. The product of all possible positive values of $x$ is 2026, which is the product of all possible positive values of $x$.

Now, let's find the number of positive divisors of the product of all possible positive values of $x$. The product of all possible positive values of $x$ is 2026, which is the product of all possible positive values of $x$.

Now, let's find the number of positive divisors of the product of all possible positive values of $x$. The product of all possible