Answer:
x = 0.17
Step-by-step explanation:
Solve for x:
First, take the ln of both sides:
ln(1/16) = ln(8^(4x-2))
You can now bring down (4x-2) in front of the ln:
ln(1/16) = (4x-2)ln(8)
ln(1/16)/ln(8) = 4x-2
4x = ln(1/16)/ln(8) + 2
x = ln(1/16)/4ln(8) + 1/2
x = 0.17
