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If y = log (a) x + log (x ) a + log (x )...

If `y = log _(a) x + log _(x ) a + log _(x ) x + log _(a) a ` then `(dy)/(dx) =`

A

`1/x + x log a `

B

`(log a)/(x) + (x )/(log a )`

C

`(1)/(x log a) + log a`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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