`((log_(2) 9)^(2))^((1)/(log_(2) (log_(2)9))) xx (sqrt7)^((1)/(log_(4)7))` का मान है

Answer

8

Explanation

`((log_(2) 9)^(2))^((1)/(log_(2) (log_(2)9))) xx (sqrt7)^((1)/(log_(4)7))`

`log_a b = 1/(log_b a)`

`[(log _2 9)^ 2 ]^(2log_((log_2 9))2)xx(7)^(1/2log_ 7 4)`

`(log_2 9)^ (log_((log_2 9))2^2) xx(7)^(log_ 7 sqrt4)`

`(log_2 9)^ (log_((log_2 9))4) xx(7)^(log_ 7 2)`

`a^(log_a x) = x`

`4xx2=8`