Prove that the logarithmic function is strictly increasing on `(0,oo)`.

Explanation

To prove that the logarithmic function \( f(x) = \log x \) is strictly increasing on the interval \( (0, \infty) \), we will follow these steps:

### Step 1: Define the function
Let \( f(x) = \log x \).

### Step 2: Find the derivative
To determine if the function is increasing, we need to find the derivative of \( f(x) \):
\[
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