log5(∛5)(√5) = কত?

log₅(∛5)(√5) = কত?

A 1

B 1/5

C 5/6

D 6/5

Solution

Correct Answer: Option C

log₅(∛5)(√5)

=log₅(∛5) + log₅(√5) [logxy=logx+logy]

= log₅5 ^1/3+ log₅5 ^1/2

=1/3 log₅5 + 1/2 log₅5

= 1/3 +1/2

=5/6