QPaperGen

Let \( f(x) = \log x \).

Then,
\[
f'(x) = \frac{d}{dx}(\log x) = \frac{1}{x}
\]

For \( x > 0 \), we have:
\[
f'(x) = \frac{1}{x} > 0
\]

Since the derivative is positive for all \( x > 0 \),
the function \( f(x) = \log x \) is strictly increasing on \( (0, \infty) \).