Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log.
$\(\log\)_841$

• A. $1.61$
• B. $0.9$
• C. $0.56$
• D. $1.79$

Answer: (D)

Verified step by step guidance

1. Identify the logarithm you need to evaluate: \( \log_{8} 41 \).
2. Recall the change of base formula for logarithms: \( \log_{b} a = \frac{\log_{c} a}{\log_{c} b} \), where \( c \) is a new base, typically \( e \) for natural logarithms.
3. Apply the change of base formula using natural logarithms: \( \log_{8} 41 = \frac{\ln 41}{\ln 8} \).
4. Use a calculator to find \( \ln 41 \) and \( \ln 8 \).
5. Divide the value of \( \ln 41 \) by \( \ln 8 \) to find the value of \( \log_{8} 41 \).