Magic of Math#8

Algebra Level 3

\[ a^ x = \frac{b}{c}, \\ b^ y = \frac{c}{a}, \\ c^ z = \frac{a}{b}. \]

If \(a, b, c, x, y, z \) are non-zero, distinct real numbers, find \( xyz + x + y + z \).

×

Problem Loading...

Note Loading...

Set Loading...