Question

Which of the following is equivalent to log 2 (c)⋅log c (2)

Answer 1

1

Explanation:

According to law of indices

log a b = 1/ log b a

hence log c (2) = 1/log 2 (c)

log 2 (c)⋅log c (2)

= log 2 (c)⋅ 1/log 2 (c)

= log 2 (c)/log 2 (c)

= 1

Hence the required answer is 1