Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.
$\(\log\)_967$

• A. 1.91
• B. 0.52
• C. 0.95
• D. 1.83

Answer: (A)

Verified step by step guidance

1. Identify the given logarithm: \( \log_{9} 67 \).
2. Recall the change of base formula: \( \log_{b} a = \frac{\log_{c} a}{\log_{c} b} \), where \( c \) is a new base, typically 10 for common logarithms.
3. Apply the change of base formula using common logarithms (base 10): \( \log_{9} 67 = \frac{\log_{10} 67}{\log_{10} 9} \).
4. Use a calculator to find \( \log_{10} 67 \) and \( \log_{10} 9 \).
5. Divide the result of \( \log_{10} 67 \) by \( \log_{10} 9 \) to evaluate \( \log_{9} 67 \).