# Blog Archives

## Problem of the day 3

Nice problem !

**Functional Equations !
**

Q)

Determine all functions ƒ satisfying the functional relations

ƒ(x) + ƒ(1/(1-x)) =( 2(1-2x)/(x(1-x))

where x is a real number x ≠ 0 , x ≠ 1

Post your answer in comments with whole solution 🙂

person who give best answer of problem of the day more than 4 times will be awarded a book

## Problem Of the Day-2

Here is Yesterday Problem

Yesterday Winner was Akash Agarwal

You must be knowing that If you win the Problem of the day for 4 times in a week – then I will send you a Really interesting book on any topic you want 🙂

Today’s Problem :

Find all possible values of x satisfying :

[x]/[x-2] – [x-2]/[x] = (8{x} + 12)/([x-2][x])

(.) = Normal bracket

{.} = Fractional part function

[.] = GIF/Floor function

## Problem of the day !

We have started one more interesting feature of the blog

I will be posting problem of the day , and the best answer will be highly appreciated

If you win problem of the day for more than 4 times in a week then I will send you a mathematics very interesting E-Book

So here is Question 1 )

**QUESTION 1 )**

How many digits does the number 2^{1000} contain?

NOTE :

You have to give solution of your answer too