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If the 7th term in the binomial expansion of 3841/3+3lnx9(x>0) is equal to 729, then x is equal to

a
e,1/e
b
2e, 1/2e
c
e2,e-2
d
1/e

detailed solution

Correct option is A

T7=9C63841/39−6(3ln⁡x)6⇒     9×8×73×2⋅338433(ln⁡x)6=729⇒     (ln⁡x)6=1⇒     ln⁡x=±1⇒x=e,1/e

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