Let `f'(x)` exists for all `x != 0 and f(xy) = f(x) + f(y)` for all real `x, y.` Prove that `f
76 views · Published 13 October 2018 · 3:05 · Indexed 6 October 2026
Channel: Doubtnut · 2018 · Education
To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Let `f'(x)` exists for all `x != 0 and f(xy) = f(x) + f(y)` for all real `x, y.` Prove that `f(x) = klogx` where `k` is aconstant.
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