Basic Mathematics & Logarithm
Applications of Logarithms
Grade Class 11
Question:
<p>Match List-I with List-II and select the correct answer using the code given below the list.</p>
P -> 1; Q -> 2; R -> 2; S -> 5
P -> 3; Q -> 4; R -> 2; S -> 5
P -> 1; Q -> 2; R -> 4; S -> 1
P -> 3; Q -> 4; R -> 4; S -> 1
Step-by-Step Solution
Key Concept: Solve each match-list item separately and only then compare with the coded options.
Notice that the cleanest route is to simplify the structure before computing. A clever move here is to translate the logarithmic statement into a friendlier algebraic form. Solve each sub-item P, Q, R and S independently and then match. Evaluating the four items gives the correspondence P -> 3, Q -> 4, R -> 4 and S -> 1. Therefore the correct coded option is D. Trap: Do not try to compare options first; compute each list item directly and only then match the code. Now, we invoke the power of the relevant logarithmic identity, simplify carefully, and finally verify the domain so that no extraneous answer survives.
Correct Answer: D