Evaluate the given logarithm.
$\frac{3}{2}\log 1$

• A. $\frac{3}{2}$
• B. 0
• C. 1
• D. 10

Answer: (B)

Verified step by step guidance

1. Identify the logarithm expression given: \( \log_{32} 1 \).
2. Recall the property of logarithms: \( \log_b 1 = 0 \) for any base \( b \neq 0 \).
3. Apply this property to the given expression: since the base is 32 and the argument is 1, the logarithm evaluates to 0.
4. Conclude that \( \log_{32} 1 = 0 \).
5. Verify by considering that any number raised to the power of 0 is 1, which confirms the logarithmic property used.