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

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. \[ x=16.7 \]
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Solution

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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: \[ \log(16.7) \approx 2.815 \]

Final Answer

\(\boxed{2.815}\)

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