Answer:
x = 8 + 4/e
Explanation:
Solve for x over the real numbers:
log(4) - log(x - 8) = 1
Subtract log(4) from both sides:
-log(x - 8) = 1 - log(4)
Multiply both sides by -1:
log(x - 8) = log(4) - 1
Cancel logarithms by taking exp of both sides:
x - 8 = 4/e
Add 8 to both sides:
Answer: x = 8 + 4/e