Question 20

Evaluate $\ln (0.509)$. Give your answer to 4 decimal places.
\[
\ln (0.509)=
\]
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Answer

So, the natural logarithm of 0.509, to 4 decimal places, is $\boxed{-0.6755}$.

Steps

Step 1 ：To solve this problem, we need to use a calculator as the natural logarithm of a number is not easily calculable by hand.

Step 2 ：Using a calculator, we find that $\ln (0.509) \approx -0.6755$.

Step 3 ：So, the natural logarithm of 0.509, to 4 decimal places, is $\boxed{-0.6755}$.