log√a b × log √b c × log√c a=?

log_√a b × log_√b c × log_√c a=?

A b

B a

C 2

D 8

Solution

Correct Answer: Option D

log _√a b × log _√b c × log_√c a
=log_√a(√b)²× log_√b(√c)² × log_√c(√a)²
=2log_√a√b× 2log_√b√c× 2log_√c√a
=8log_√a√b×(log_√b√c× log_√c√a
=8log_√a√b ×log_√b√a
=8log_√a√a
=8.1=8

Solution

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