Find the value? √[x{³√y(√x(³√y...))}]

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Mathematics for Mankind- online class by DPM

Mathematics for Mankind- online class by DPM

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If x=logb_c+logb_c, y=logc_a+loga_c and z=loga_b+logb_a then pvt x²+y²+z²-4=xyz
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