Question

The value of log2 [log2 {log3 (log3 27³ )}] is equal to

Answer 1

Hey Buddy

Here's the answer

________________________

# Some important log identities

=> log m^n = n log m _____( 1 )

=> log m ( m ) = 1 ______( 2 )

Now

=> log2 [log2 {log3 (log3 (27)³ )}]

By identity ( 1 )

=> log2 [log2 {log3 (3×log3 (27) )}]

=> log2 [log2 {log3 (3×log3 (3)³ )}]

By identity ( 1 )

=> log2 [log2 {log3 (9×log3 (3) )}]

By identity ( 2 )

=> log2 [log2 {log3 (9×1)}]

=> log2 [log2 {log3 (3)^2}]

By identity ( 1 )

=> log2 [log2 {2×log3 (3)}]

=> log2 [log2 {2}]

=> log2 [ 1 ]

=> 0

HOPE HELPED.

JAI HIND

:)