Magic of Math#8

Algebra Level 3

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

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

0.5 -1 0 1

Magic Math by Magic Math , 21, Thailand

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2 solutions

Magic Math
Sep 2, 2015

6 Helpful 0 Interesting 0 Brilliant 0 Confused

ez gdvvsixs

อาร์มมี่ โป๊ะโกะ - 5 years, 9 months ago

I actually used logarithm

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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