Answer: x = -1
Step-by-step explanation:
You need to convert to the same base
[tex]\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}[/tex]
So
[tex]2^{-4} = 2^{-2x-6}[/tex]
For these values to be equal, the exponents have to be equal
-4 = -2x - 6
2 = -2x
x = -1
