Question

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

Answer 1

Answer: If 2^n-1+2^n+1=320 then n is equal to 7

Step-by-step explanation:

Given,$2^{n-1} +2^{n+1} =320$

$2^{n-1} (1+2^{2} )=320$

$2^{n-1} *5=320$

$2^{n-1}$=320/5=64

$(2)^{n-1} =(2)^{6}$

n-1=6

-1 takes into left side

n=6+1

n=7