Question

If 2352=2 to powerx × 3 to power y × 7 to power z then what's value of x+y+z.

Answer 1

$2 \times 2 \times 2 \times 2 \times 3 \times 7 \times 7 = {2}^{4} \times {3}^{1} \times {7 }^{2} \\ = {2}^{x} \times {3}^{y} \times {7}^{z } \\ power \: \: \: \: \: \: x = 4 \\ y = 1 \\ z = 2 \\ x + y + z = 4 + 1 + 2 = 7$