ns Unit Test

Question

19 of 2119 of 21 Items

Question
In 3–5 sentences, explain how to approximate log2⋅log3
to four decimal places.(4 points)

Answer 1

To approximate \( \log_2 \cdot \log_3 \) to four decimal places, you can utilize a scientific calculator or logarithm tables to find the values of \( \log_2 \) and \( \log_3 \) separately. Calculate \( \log_2 \) using the change of base formula, \( \log_2(x) = \frac{\log_{10}(x)}{\log_{10}(2)} \), and for \( \log_3 \) similarly as \( \log_3(x) = \frac{\log_{10}(x)}{\log_{10}(3)} \). Once you have both values, multiply them together and round the result to four decimal places. Alternatively, use a calculator with direct log functions to find \( \log_2(2) \) and \( \log_3(3) \) straightforwardly.