Find X^2

The solution to the equation 25^x = 125 is x = 3/2. Squaring this value gives x^2 = 9/4.

Answer

Let’s break this problem down.

Step 1: Solve for X

We start with the equation:

Recognize that both 25 and 125 can be expressed as powers of 5:

Substitute these into the equation:

Using the rule of exponents that says

, we get:

Since the bases are the same, we can equate the exponents:

Solve for x:

Step 2: Calculate X²

Now that we know

, we can find

Answer:

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