Use a calculator to find the value to four decimal places. (If an answer is undefined, enter UNDEFINED.)ln 0.666

Break Down the Problem

1. Identify the function: We're looking for the natural logarithm of 0.666, which is mathematically denoted as $\ln(0.666)$.

Relevant Concepts

2. Understand the properties of logarithms: The natural logarithm function $\ln(x)$ is defined for $x > 0$. Since 0.666 is positive, the function can be applied.

Analysis and Detail

3. Calculating the value $\ln(0.666)$:
   • Using a calculator, we input directly $\ln(0.666)$.

Verify and Summarize

4. The calculator should yield a numeric result. On most calculators or software, this calculation provides a specific output.

Final Answer

After performing the calculation, we find: $\ln(0.666) \approx -0.4055$

So, the value of $\ln(0.666)$ to four decimal places is -0.4055.