>>>>>That's my daughter's math question. I couldn't solve that... :(
>>>>>
>>>>>f(x/y)=f(x)+f(y)
>>>>>f(10)=1
>>>>>f(10000)=?
>>>>
>>>>Obviously the idea is to find out what the function is. The form of the function reminds me strongly of a logarithm (log ab = log a + log b), except that we have a division here. Are you sure the first part is plus, and not minus?
>>>
>>>why
>>>
>>>F(y)= -1*log(y )
>>>
>>>will do
>>>
>>>::)
>>
>>Experimenting a bit, I thought about that too, but in this case, f(10) would be -1, not 1.
>
>There should be another solution. Because she don't see logarithm yet.
I don't think any other function has those characteristics.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)