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: \( \log_2 3789 \). This is a logarithm with base 2.
2. Recall the change of base formula: \( \log_b a = \frac{\log_c a}{\log_c b} \), where \( c \) is a new base, typically \( e \) for natural logarithms.
3. Apply the change of base formula using natural logarithms: \( \log_2 3789 = \frac{\ln 3789}{\ln 2} \).
4. Use a calculator to find \( \ln 3789 \) and \( \ln 2 \). Ensure your calculator is set to compute natural logarithms.
5. Divide the result of \( \ln 3789 \) by \( \ln 2 \) to find the value of \( \log_2 3789 \).