If x_n > x_ n-1 > > x_2 > x_1 > 1 then the value of _ x_1 _ x_2 _ x_3 _ x_n x_n^ ,x_ n-1 ^ , ^ ^ ^ x_1 is equal to

JEE Advanced Mathematics question

If then the value of

·s

is equal to

Answer: (B)

Work from the innermost logarithm outward, using . Write (a tower from down to ), so the argument is .

- $ = = ^{T

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Question ID VK-108650