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Binomial Theorem question

2021 · 27 Jul · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2021 · 27 Jul · Shift 2 · Q24

Binomial Theorem question

2021 · 27 Jul · Shift 2 · Q24

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

A possible value of 'x', for which the ninth term in the expansion of

{\left\{ {{3^{{{\log }_3}\sqrt {{{25}^{x - 1}} + 7} }} + {3^{\left( { - {1 \over 8}} \right){{\log }_3}({5^{x - 1}} + 1)}}} \right\}^{10}}

in the increasing powers of

{3^{\left( { - {1 \over 8}} \right){{\log }_3}({5^{x - 1}} + 1)}}

is equal to 180, is :

A
0
B
$-$ 1
C
2
D
1

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