If 2^n-1+2^n+1=320 then n is equal to-

please tell me

ANS = 2^{n -1} +2ⁿ⁺¹= 320

=> 2^{n ₍} 2 ^-1 +2¹)= 320

=> 2ⁿ ( 1/2 + 2) = 320

=> 2ⁿ ( 5/2) = 320

=> 2ⁿ = 320*2/5

=> 2ⁿ = 2⁷

thus, n = 7

ANS = 2^n-1+2ⁿ⁺¹= 320

= 2^n₍2^-1+2¹)= 320

= 2ⁿ(1/2 + 2)= 320

= 2ⁿ(5/2)= 320

= 2ⁿ= 320*2/5

= 2ⁿ= 2⁷

thus, n = 7