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`

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))]^(7) is equal to a.4 b.3 c.2 d.1

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

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.

Find the sum of possible real values of x for which the sixth term of (3^(log_3 sqrt(9^|x-2|))+7^(1/5 log_7 (3^(|x-2|-9))))^7 equals 567.