Question

9^(x - 2) = 3^(x + 1) , then the value of 2 ^ (1 + x) is​

Answer 1

Answer:

1/4

Step-by-step explanation:

$9^{(x+2)} = 3^{(x+1)}\\3^{2(x+2)} = 3^{(x+1)}\\2(x+2)=(x+1)\\2x+4 = x+1\\x=-3$

Now,

$2^{(1+x)}\\= 2^{(1-3)}\\=2^{-2}\\=\frac{1}{4}$