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If f(x)=log(x) (log x)," then find "f'(x...

If `f(x)=log_(x) (log x)," then find "f'(x) at x= e`

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To find \( f'(x) \) for the function \( f(x) = \log_x(\log x) \) at \( x = e \), we will follow these steps: ### Step 1: Rewrite the function using the change of base formula Using the change of base formula for logarithms, we can express \( f(x) \) as: \[ f(x) = \frac{\log_e(\log x)}{\log_e(x)} \]
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