logy(base x)*logy(base xy)*logy(base x^2y)=1/6Then

Question

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.

Arun · Accepted Answer

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

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.