A possible value of , for which the ninth term in the expansion of \{3^{\log _{3} \\sqrt{25^{x-1}+7}}+3^{(-\frac{1}{8}) \log _{3}(5^{x-1}+1)}\}^{10} in the increasing powers of 3^{(-\frac{1}{8}) \log _{3}(5^{x-1}+1)} is equal to 180 , is : [27 Jul 2021 Shift 2] x', for which the ninth term in the expansion of \{3^{\log _{3} \√{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 : [27 Jul 2021 Shift 2]

JEE Main 27 July 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 62 of 90

Marks: +1, -0

A possible value of ′x′, for which the ninth term in the expansion of {3log3√25x−1+7+3(−

)log3(5x−1+1)}10 in the increasing powers of 3(−

)log3(5x−1+1) is equal to 180 , is :

[27 Jul 2021 Shift 2]

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