5.14

/* comment
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define importantvalue 0
double log_star(double x);
int logstar(double x);
double log2(double x);

int
main(int argc, char *argv[]) {
	double x;
	int y;
	printf("Enter x: ");
	scanf("%lf", &x);
	printf("log star of %lf is %d\n", x, logstar(x));
	y= (int)log_star(x);
	printf("%d",y);
	return 0;
}

double 
log_star(double x){
	/*recursively*/
	if (x<1){
		return 0;
	}else {
		return 1 + log_star(log2(x));
	}
}

int 
logstar(double x) {
	int count=0;
	while (x>1){
		x= log2(x);
		count+=1;
	}return count;
}