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logy(base x)*logy(base xy)*logy(base x^2y)=1/6Then express y as a real function x and indicate the domain of definition.

logy(base x)*logy(base xy)*logy(base x^2y)=1/6Then express y as a real function x and indicate the domain of definition.

Grade:12

1 Answers

Arun
25763 Points
3 years ago
Dear Chandan
 
If we want to make the base same then,
 
1/logx (base y) * 1/ logxy (basey) * 1/ logx²y (basey)
 
  1/ log x⁴y² (basey) = 1/6
 
y^(1/6) = x⁴ y²

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