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: \( \log_{9} 67 \). This is a logarithm with base 9.
2. Use the change of base formula to convert the logarithm to a common logarithm (base 10): \( \log_{9} 67 = \frac{\log_{10} 67}{\log_{10} 9} \).
3. Calculate \( \log_{10} 67 \) using a calculator. This will give you the numerator of the fraction.
4. Calculate \( \log_{10} 9 \) using a calculator. This will give you the denominator of the fraction.
5. Divide the result from step 3 by the result from step 4 to find the value of \( \log_{9} 67 \).