Grade 11Magical Mathematics[Interesting Approach]
loga base b.loga base c+logb base a. logb base c+logc base a. logc base b=3,find the value of abc
1 Answer
Suresh
abc = 1 , write log a base b as log a /log b and other logs also, then add we get x^3 + y^3 +z^3 = 3xyz , which is possible when xyz = 1 or x+ y + z =0 .
x = log a, y = log b , z = log c.
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