Mathematics · 2021
JEE Main · 27 July 2021, Shift 2 · Q70
A possible value of ' 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…
A possible value of ' $\displaystyle x$ ', for which the ninth term in the expansion of
$\displaystyle \left\{3^{\log _3 \sqrt{25^{x-1}+7}}+3^{\left(-\frac{1}{8}\right) \log _3\left(5^{x-1}+1\right)}\right\}^{10}$ in the increasing powers of $\displaystyle 3^{\left(-\frac{1}{8}\right) \log _3\left(5^{x-1}+1\right)}$
is equal to $\displaystyle 180$ , is :
Official answer
(2)
$\displaystyle 1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.