The differentiation of `(log)_a x` (a >0) with respect to x i.e. `d/(dx)((log)_a x)= 1/(x(log)_e a)`

Explanation

To differentiate \( \log_a x \) with respect to \( x \), we can use the change of base formula and the first principle of differentiation. Here’s a step-by-step solution:

### Step 1: Understand the function
We need to differentiate the function \( f(x) = \log_a x \).

### Step 2: Change of Base Formula
Using the change of base formula for logarithms, we can express \( \log_a x \) in terms of natural logarithm (base \( e \)):
\[
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