the value of `x` , for which the 6th term in the expansions of`[2^(log_2) (sqrt(9^((x-1)+7)))+1/(2^(1/5)(log)_2(3^(x-1)+1))]^7i s84` , is equal to a. 4 b. 3 c. `2` d. `1`

The value of x for which the sixth term in the expansion of [2^(log)_2sqrt(9^((x-1)+7))+1/(2^1/5(log)_2(3^((x-1)+1)))]^7 is 84 is 4 b. 1or2 c. 0or1 d. 3

For what value of x is the ninth term in the expansion of (3^(log_(3)sqrt(25^(x-1))+7)+3^(-(1)/(8)log_(3)(5^(x-1)+1)))^(10) is equal to 180

A possible value of 'x', for which the ninth term in the expansion of { 3 ^(log _(3) sqrt(25 ^(x - 1) + 7))+ 3 ^(((1)/(8))log_(3) ^((5^(x-1)+1)))}^(10) in the increasing powers of 3^((-(1)/(8))log_(3) ^((5^(x - 1)+1))) is equal to 180 is

E=(3^(log_(3)sqrt(9^(|x-2|)))+7^((1/5)log_(7)(4).3^(|x-2|)-9 ))^(7)

The largest value of x for which the fourth tem in the expansion (5((2)/(5))(log)_(5)sqrt(4^(x)+44)+(1)/(5^(log_(5))(2^((x-1)+7))^((1)/(3))))^(8) is 336 is.