If the 9th term in the expansion of ⎛⎜⎝3log3√25x−1+7+3−18log3(5x−1+1)⎞⎟⎠10 is 180, then the value(s) of x is/are

If the 9th term in the expansion of ⎛⎜⎝3log3√25x−1+7+3−18l

1.	If the 9th term in the expansion of ⎛⎜⎝3log3√25x−1+7+3−18log3(5x−1+1)⎞⎟⎠10 is 180, then the value(s) of x is/are
Answer» If the $9^{th}$ term in the expansion of ${⎛ ⎜ ⎝ 3^{{log}_{3} \sqrt{25^{x - 1} + 7}} + 3^{- \frac{1}{8} {log}_{3} (5^{x - 1} + 1)} ⎞ ⎟ ⎠}^{10}$ is $180$ , then the value(s) of $x$ is/are