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Question

The value of x in the expression [x+xlog10(x)]5 ,if the third term in the expansion is 10,00,000

A
10
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B
11
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C
12
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D
none of these
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Solution

The correct option is A 10
T3=5C2.x2(xlog10x)=106
put5C2=10 [log1010=1]
If x=10, then 103.102.1=105 is satisfied
Hence x = 10

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