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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
Options:
A .  10
B .  11
C .  12
D .  None of these
Answer: Option A
:
A
T3 =5C2. x2(xlog10x)3 = 106
Put5C2 = 10 [ ∵log1010=1].
If x = 10, then 103.102.1 = 105 is satisfied.
Hence x = 10.

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