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Let f be differentiable function satisfy...

Let f be differentiable function satisfying `f((x)/(y))=f(x) - f(y)"for all" x, y gt 0`. If f'(1) = 1, then f(x) is

A

`2 log_(e) x`

B

`3 log_(e) x`

C

`log_(e) x`

D

`(1)/(2)log_(e)x`

Text Solution

Verified by Experts

The correct Answer is:
C
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