Answer:
n=1/2 after being simplified
Step-by-step explanation:
Use Division Distributive Property:
9^n-1=1/3^4n-1 then convert both sides to the same base
3^2(n-1) = 3^-(4n-1)
cancel the base of 3 on both sides
2(n-1) = -4n+1
then expand 2n-2=-4n+1
add 2 to both sides 2n=4n+1+2
simplify: -4n+1+2 to -4n+3
2n=-4n+3
add 4n to both sides: 2n+4n=3
simplify: 2n+4n to 6n
6n=3
divide both sides by 6
n=3/6
simplify and n=1/2
