To solve this inequality, we need to find the range of values for x that satisfy the inequality.

First, let's solve the lower bound inequality: 25 < 2^x.

Taking the logarithm base 2 of both sides, we get:

log2(25) < log2(2^x)

log2(25) < x

x > log2(25)

Using a calculator, we find that log2(25) ≈ 4.6439.

Therefore, the lower bound for x is x > 4.6439.

Now, let's solve the upper bound inequality: 2^x < 3125.

Taking the logarithm base 2 of both sides, we get:

log2(2^x) < log2(3125)

x < log2(3125)

Using a calculator, we find that log2(3125) ≈ 11.2877.

Therefore, the upper bound for x is x < 11.2877.

Combining the lower and upper bounds, we have:

4.6439 < x < 11.2877

So, the range of values for x that satisfy the inequality is 4.6439 < x < 11.2877.