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In 3-5 sentences, explain how to approximate log 2 • log 3 to four decimal places.

Answer 1

To approximate the product \( \log 2 \cdot \log 3 \) to four decimal places, you can first find the values of \( \log 2 \) and \( \log 3 \) using a scientific calculator or logarithm table. Typically, \( \log 2 \) is approximately 0.3010 and \( \log 3 \) is approximately 0.4771. Multiplying these two values together yields \( \log 2 \cdot \log 3 \approx 0.3010 \times 0.4771 \). Lastly, calculate this product to obtain the final result of approximately 0.1438, rounding as necessary to achieve four decimal places.