Let x, y, z be positive integers such that \(2^{3x} + 2^{4y} = 2^{5z}\). Find the smallest possible value of z.
a=1; b=1;c=1;d=2^3*a + 2^4*b; if(d==2^5*c, goto5, goto6);printd,a,b,c; a++;if(a<100, goto3, 0);a=1;b++;if(b<100, goto3, discard=0; a=1;b=2;c++;if(c<100, goto3, 0)
The smallest values for x, y, z are:
x =2, y = 1 and z = 1
Wait a minute !! I fouled the numbers up:
The smallest x, y, z are:
x = 8, y = 6, z = 5
