SOLUTION: if 360 = 2^x + 3^y+5^z what is the value of x+y+z ?

Algebra ->  Absolute-value -> SOLUTION: if 360 = 2^x + 3^y+5^z what is the value of x+y+z ?      Log On


   

Question 885971: if 360 = 2^x + 3^y+5^z what is the value of x+y+z ?
Answer by basketball1127(19) About Me  (Show Source):
You can put this solution on YOUR website!
prime factorization of 360=
%282%5E3%29%283%5E2%29%285%5E1%29
2%5Ex=2%5E3
x=3
3%5Ey=3%5E2
y=2
5%5Ez=5%5E1
z=1
x+y+z=3+2+1= 6