Evaluate the given logarithm.
$\(\frac\)32\(\log\)1$

• A. $\(\frac\)32$
• B. 0
• C. 1
• D. 10

Answer: (B)

Verified step by step guidance

1. Understand the problem: We need to evaluate the logarithm expression \( \log_{32} 1 \).
2. Recall the property of logarithms: \( \log_b a = x \) implies \( b^x = a \).
3. Apply the property: Since \( \log_{32} 1 = x \), we have \( 32^x = 1 \).
4. Recognize that any number raised to the power of 0 is 1, i.e., \( b^0 = 1 \) for any base \( b \).
5. Conclude that \( x = 0 \) because \( 32^0 = 1 \), thus \( \log_{32} 1 = 0 \).