Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log. 
$\log_23789$

• A. 0.08
• B. 11.89
• C. 3.58
• D. 0.30

Answer: (B)

Verified step by step guidance

1. Identify the given logarithm: \( \log_2 3789 \).
2. Recall the change of base formula: \( \log_b a = \frac{\log_c a}{\log_c b} \), where \( c \) is a new base, often chosen as 10 or \( e \) (natural log).
3. Apply the change of base formula using the natural logarithm (\( \ln \)): \( \log_2 3789 = \frac{\ln 3789}{\ln 2} \).
4. Use a calculator to find \( \ln 3789 \) and \( \ln 2 \).
5. Divide the result of \( \ln 3789 \) by \( \ln 2 \) to evaluate \( \log_2 3789 \).