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6. use technology to evaluate the logarithm. round your answer to three…

Question

  1. use technology to evaluate the logarithm. round your answer to three decimal places. (ln \frac{1}{3}=square)

Explanation:

Step1: Rewrite using log property

$\ln \frac{1}{3} = \ln 1 - \ln 3$

Step2: Evaluate known log values

$\ln 1 = 0$, so $\ln \frac{1}{3} = -\ln 3$

Step3: Calculate and round to 3 decimals

$\ln 3 \approx 1.0986$, so $-\ln 3 \approx -1.099$

Answer:

-1.099