NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

If the 6 t h term in the expansion of 1 x 8 3 + x 2 l o g 10 x 8 is 5600 , then the value of x is

Correct answer

Step-by-step solution

T 6 = 8 C 5 1 x 8 3 8 - 5 x 2 log 10 ⁡ x 5 = 56 1 x 8 x 2 log 10 ⁡ x 5 = 56 x 2 log 10 ⁡ x 5 T 6 = 5600 ⇒ 56 x 2 log 10 ⁡ x 5 = 5600 ⇒ x 2 log 10 ⁡ x 5 = 100 ⇒ x 2 log 10 ⁡ x 5 = 10 2 ⇒ x = 10

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