Aksionov is the protagonist of the story "god sees the truth but waits" written by Leo Tolstoy. He is a young merchant. He is a handsome, fair-haired, curly-headed fellow, full of fun and very fond of singing. He used to drink much before marriage but later on, he changed himself and became a good man. He had virtuous qualities such as faith, forgiveness, freedom, and acceptance. His comfortable life is disrupted when he is framed for a murder he didn't commit and was sent to a...

Program to input any number and display number of odd numbers in it;

#include<stdio.h>

#include<stdlib.h>

#include<conio.h>

#include<string.h>

int main() {

int i, number, num1, num2=0, num3, num4 =0, rem, rem1, rem2, rev = 0;

printf("Enter your number ==> ");

scanf("%d", &number);

num1 = number;

while(num1 != 0) {

rem = num1%10;

rem1 = rem%2;

if (rem1 != 0) {

num2 = num2*10 + rem;

}

num1 /= 10;

}

num3 = num2;

while (num2 != 0) {

...

Asksionov thought of killing himself because he remembered all those harsh situations that he had faced in his life without committing any crime . Even his wife didn't  believe in him . He got frustrated by thinking all these painful situations that he was ready to kill himself.

Log_2aa=x    then, a=(2a)^x  ......(1)

Log_3a2a=y    then,2a=(3a)^y ......(2)

Log_4a 3a=z  then, 3a=(4a)^z ......(3)

So, 

a=(2a)^x  [from (1)]

Or, a=(3a)^xy    [from(2)]

Or, a=(4a)^xyz     [from(3)]

Multiplying both sides by 4a,

4a.a=4a.(4a)^xyz  

Or,(2a)² =(4a)^{xyz + 1} 

Or,(3a)^2y =(4a)^xyz+1 

Or,(4a)^2yz =(4a)^xyz+1 

Or, 2yz = xyz+1 .proved.