Download the app

Questions  

The value of x, for which the 6th term in the expansion of 2log29x1+7+12(1/5)log23x1+1 is 84,is equal to

a
4
b
3
c
2
d
5

detailed solution

Correct option is C

We have, 2log29x−1+7+1215log23x−1+17=9x−1+7+13x−1+11/57∴ T6=7C59x−1+77−513x−1+11/55=7C59x−1+713x−1+1⇒ 84=7C59x−1+73x−1+1⇒ 9x−1+7=43x−1+1 ⇒ 32x9+7=43x3+1⇒ y2−12y+27=0      ⇒ y2−12y+27=0          (Put y= 3)⇒ (y−3)(y−9)=0⇒ y=3,9⇒3x=3,9⇒x=1,2

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

The coefficient of x4 in the expansion of 1+x+x2+x3n is


phone icon
whats app icon