(√3)(x+1)= (∛3)(2x-1) হলে, x= কত?

(√3)^(x+1)= (∛3)^(2x-1) হলে, x= কত?

A 3

B 4

C 5

D 6

Correct Answer: Option C

(√3)^(x+1)= (∛3)^(2x-1)
⟹ 3^{(x+1)/2} = 3^{(2x-1)/3}
∴ {(x+1)/2}= {(2x-1)/3}
⟹ 4x- 2 = 3x+ 3
⟹ 4x- 3x = 3+ 2
X= 5