Q.

If the fourth term in the expansion of x+xlog2x7 is 4480, then the value of x, where x∈N is equal to

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a

4

b

3

c

1

d

2

answer is D.

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Detailed Solution

Given x+xlog2x7, the fourth term is T4=4480⇒7C3.x4.xlog2x3=4480⇒35.x423=4480⇒x4=16⇒x=2
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If the fourth term in the expansion of x+xlog2x7 is 4480, then the value of x, where x∈N is equal to