If the fourth term in the binomial expansion of (√(x^((1/(1 + log ₁₀x)))) + x^(1/12))⁶ is equal to 200, and x > 1, then the value of x is:

Binomial Theorem and Its Simple Applications: JEE Main 2019 Mathematics question

JEE Main 2019 · 8 Apr, Evening shift · Q2918

JEE Main 20198 Apr, Evening shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

If the fourth term in the binomial expansion of

{\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}} + {x^{{1 \over {12}}}}} \right)^6}

is equal to 200, and x > 1, then the value of x is :

JEE Main 2019 · 8 Apr, Evening shift · Q2918

JEE Main 20198 Apr, Evening shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

If the fourth term in the binomial expansion of

{\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}} + {x^{{1 \over {12}}}}} \right)^6}

is equal to 200, and x > 1, then the value of x is :