Question

find the approximation of four decimal places of $log 3 cdot sqrt{2}$. (5 points)
0.47712
1.41421
0.6747
0.6748

Explanation:

Step1: Identify log values

$\log 3 \approx 0.4771212547$, $\sqrt{2} \approx 1.414213562$

Step2: Multiply the two values

$\log 3 \cdot \sqrt{2} \approx 0.4771212547 \times 1.414213562$

Step3: Round to 4 decimal places

$0.4771212547 \times 1.414213562 \approx 0.67477$

Answer:

0.6748