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If y=log(x)a,(dy)/(dx)=............

If `y=log_(x)a,(dy)/(dx)=.........`

A

`(-loga)/(x(logx)^(2))`

B

xloga

C

`(1)/(log_(x)a)`

D

`(1)/(xloga)`

Text Solution

AI Generated Solution

To find the derivative of \( y = \log_x a \) with respect to \( x \), we can follow these steps: ### Step 1: Rewrite the logarithm Using the change of base formula for logarithms, we can rewrite \( y \): \[ y = \log_x a = \frac{\log a}{\log x} \] ...
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