JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

x_n>x_{n-1}>\ldots>x_2>x_1>1,

the value of

{\log _{{x_1}}}\,{\log _{{x_2}}}\,{\log _{{x_3}}}\, \cdot \cdot \cdot {\log _{{x_n}}}\,{x_n}^{{x_{n - 1}}^{{.^{{.^{{.^{{.^{.{x_1}}}}}}}}}}}

View answer and explanation

Correct option: B

Option B (1) is correct because the expression simplifies to 1 due to the properties of logarithms and exponents.

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