Find the Intervals Where $f(x)=\frac{\log 9 x}{x}$ Is Increasing and Where It Is Decreasing

question 61

Multiple Choice

Find the intervals where $f(x) =\frac{\log 9 x}{x}$ is increasing and where it is decreasing.

• A) increasing: \((9 e, \infty)\) , decreasing: \((0,9 e)\)
• B) increasing: \(\left(0, \frac{e}{9}\right)\) , decreasing: \(\left(\frac{e}{9}, \infty\right)\)
• C) increasing: \((90, \infty)\) , decreasing: \((0,90)\)
• D) increasing: \(\left(0, \frac{9}{10}\right)\) , decreasing: \(\left(\frac{9}{10}, \infty\right)\)

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