f-x-2-f-x-1-

Question Number 1180 by 934111 last updated on 11/Jul/15

f (x^{2}) - f (x) = 1

Commented by 123456 last updated on 11/Jul/15

{0, 1} \notin D (f)

Answered by prakash jain last updated on 13/Jul/15

f (x) = \log_{2} \log_{k} x

f (x^{2}) = \log_{2} \log_{k} x^{2}

= \log_{2} ({2 \log}_{k} x) = 1 + \log_{2} \log_{k} x = 1 + f (x)

Commented by Rasheed Ahmad last updated on 13/Jul/15

A p p r e c i a t i o n f o r y o u r i n t e l l i g e n c e

a n d k n o w l e d g e . I w o u l d l i k e t o

a s k y o u h o w d i d y o u d e t e r m i n e

t h a t ? I s t h e r e a n y m e t h o d f o r

s o l v i n g s u c h e q n s ?

Commented by prakash jain last updated on 13/Jul/15

Derived using f (x y) = f (x) + f (y)

\Rightarrow f (x) = \log x

If multiplication of a variable results in

addition f (x^{2}) = f (x) + 1 then function will

be logarithmic .

Commented by Faaiz Soomro last updated on 13/Jul/15

T h a n k s P a r k a s h J a i n . I a m l e a r n i n g f r o m y o u .