Answer:x = 8.75
Step-by-step explanation:
First, write 16 as 2^4.
So, the equation becomes - (2^4)^(x - 9) = 1/2
simplify the left side and write 1/2 as 2^-1.
so the equation becomes
2^{4(x-9)} = 2^-1
Now only take the exponents from both side-
{4(x-9)} = -1
now just solve the equation.
{4(x-9)} = -1
so,4x - 36 = -1
so,4x = 35
so, x = 35÷4=8.75
