log₂ √6 + log₂ √(2/3) = কত?

A 0

B 2

C 1

D 3

Solution

Correct Answer: Option C

    log₂ √6 + log₂ √(2/3) 

= log₂ √3.2 + log₂ √2/√3   21/2 

= log₂√3  + log₂√2  + log₂√2  + log₂√3         

= log₂√2 + log₂√2 = 2 log₂√2 = 2 log₂2^1/2  = 1/2 × 2 log₂2         

= 1 × 1 = 1       

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