Final Answer:
The value of the function f(x) = 5 ln(x) at x = 0.91, rounded to three decimal places, is -0.472.
Step-by-step explanation:
To evaluate f(x) = 5 ln(x) at x = 0.91, we can follow these steps:
Substitute x = 0.91 into the function:
f(0.91) = 5 ln(0.91)
Use a calculator to calculate the natural logarithm of 0.91:
ln(0.91) ≈ -0.095
Multiply the result by 5:
f(0.91) ≈ 5 * (-0.095) ≈ -0.475
Round the answer to three decimal places:
f(0.91) ≈ -0.472
Therefore, the value of f(x) = 5 ln(x) at x = 0.91, rounded to three decimal places, is -0.472.