Questions: Use a calculator to evaluate f(x) = log(x) at the given value of x. Round your result to three decimal places.
x = 16.7
Transcript text: Use a calculator to evaluate $f(x)=\log (x)$ at the given value of $x$. Round your result to three decimal places.
\[
x=16.7
\]
Solution
Solution Steps
To evaluate the function \( f(x) = \log(x) \) at \( x = 16.7 \), we will use the natural logarithm function in Python, which calculates the logarithm to the base \( e \). We will then round the result to three decimal places.
Step 1: Evaluate the Function
We need to evaluate the function \( f(x) = \log(x) \) at \( x = 16.7 \). This gives us:
\[
f(16.7) = \log(16.7)
\]
Step 2: Calculate the Logarithm
Calculating the natural logarithm of \( 16.7 \) yields:
\[
\log(16.7) \approx 2.8154
\]
Step 3: Round the Result
Rounding the result to three decimal places, we have:
\[
\log(16.7) \approx 2.815
\]