Basic Mathematics & Logarithm
Logarithm Properties
Grade None
Question:
<p>(A) Evaluate <span class="math">\(\log_3 243\)</span></p>
<p>(p) positive integer</p>
<p>(q) negative integer</p>
<p>(r) rational but not integer</p>
<p>(s) [incomplete in source]</p>
Step-by-Step Solution
Key Concept: Convert the argument to a power of the base, then apply the logarithm power rule.
<p><strong>Step 1:</strong> Note that \(243 = 3^5\)</p><p><strong>Step 2:</strong> Therefore, \(\log_3 243 = \log_3(3^5) = 5\)</p><p><strong>Step 3:</strong> \(5\) is a positive integer</p><p>∴ Answer is (p) positive integer.</p>
Correct Answer: p