Problem 77

Question

Use a calculator to evaluate the function at the indicated value of \(x .\) Round your result to three decimal places. (Value) $$x=11$$ $$x=18.31$$ $$x=\frac{1}{2}$$ $$x=\sqrt{0.65}$$ (Function) $$f(x)=\ln x$$

Step-by-Step Solution

Verified
Answer
The solutions for each value of \(x\) will differ and will be accurately obtained by using a calculator to calculate the natural logarithm. The results must be rounded to three decimal places.
1Step 1: Evaluate \(\ln x\) for \(x=11\)
Ensure the calculator is set in logarithmic mode, then input \(\ln 11\). Round the result to three decimal places.
2Step 2: Evaluate \(\ln x\) for \(x=18.31\)
In logarithm mode, input \(\ln 18.31\). Again, round the value to three decimal places.
3Step 3: Evaluate \(\ln x\) for \(x=0.5\)
Input this argument into the calculator and again, round the output to three decimal places.
4Step 4: Evaluate \(\ln x\) for \(x = \sqrt{0.65}\)
First, compute \(\sqrt{0.65}\) and then evaluate \(\ln x\). As earlier, round the result to three decimal places.