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The differentiation of (log)a x (a >0) w...

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

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To differentiate \( \log_a x \) with respect to \( x \), we can follow these steps: ### Step 1: Change of Base Formula We start by using the change of base formula for logarithms. The change of base formula states that: \[ \log_a x = \frac{\log_e x}{\log_e a} \] where \( \log_e \) is the natural logarithm (often denoted as \( \ln \)). ...
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