Basic Mathematics & Logarithm
Properties of Logarithms
Grade 11
Question:
<p>If <i>a</i> = log₂₄ 12, <i>b</i> = log₄₈ 36 and <i>c</i> = log₃₆ 24, then 18 <i>abc</i> is equal to</p>
<p>(a) 2<i>ab</i></p>
<p>(b) 2<i>bc</i></p>
<p>(c) 2<i>ca</i></p>
<p>(d) <i>ba</i> + <i>bc</i></p>
Step-by-Step Solution
Key Concept: Use change of base formula and properties of logarithms to simplify the product of logarithms.
<p>Need to evaluate 18<i>abc</i> using logarithm properties and change of base formula.</p>
Correct Answer: C