If the fourth term in the Binomial expansion of 8 6 2 log x x x æ ö ç ÷ + è ø (x > 0) is 20 × 87 , then a value of x is:

Question:

If the fourth term in the Binomial expansion of $\left(\frac{2}{x}+x^{\log _{8} x}\right)^{6}(\mathrm{x}>0)$ is $20 \times 8^{7}$, then a value of $\mathrm{x}$ is:

  1. $8^{3}$

  2. $8^{2}$

  3. 8

  4. $8^{-2}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year April 9, 2019 (I)

Solution:

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