Compute the area of the region under the graph of $f(x)=\frac{8}{x}$ from $x=6$ to $x=12$. \[ \text { Area }= \] Submit Answer

Step 1 ：Calculate the definite integral of the function \(f(x)=\frac{8}{x}\) from \(x=6\) to \(x=12\)

Step 2 ：Use the formula for the definite integral of \(f(x)=\frac{8}{x}\) to find the area under the curve

Step 3 ：Compute the integral to get \(-8\log(6) + 8\log(12)\)

Step 4 ：Simplify the expression using logarithm properties

Step 5 ：Final Answer: \(\boxed{-8\log(6) + 8\log(12)}\)