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loga base b.loga base c+logb base a. logb base c+logc base a. logc base b=3,find the value of abc

loga base b.loga base c+logb base a. logb base c+logc base a. logc base b=3,find the value of abc

Grade:11

1 Answers

Suresh
44 Points
4 years ago
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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