If the 6th term in the expansion of 1x8/3+x2log10x8 is 5600, then x equals
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a
1
b
loge10
c
10
d
x does not exist
answer is C.
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Detailed Solution
It is given that 6th term in the expansion of 1x8/3+x2log10x8 , 5600; therefore, 8C5x2log10x51x8/33=5600 {General term Tr+1=ncrxn-r ar }or 56x10log10x51x8=5600or x2log10x5=100or x2log10x5=102log10105or x=10