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Algebra
Logarithms, Powers
jee_main_2026_april_4_shift_2
Grade 12

Question:

If log_3 81 = a and log_2 32 = b, find the value of a^2 - b^2.
A. -9
B. -7
C. 7
D. 9

Step-by-Step Solution

Key Concept: Use logarithm definition to find a and b, then compute the expression.
Step 1: log_3 81 = 4 => a = 4. Step 2: log_2 32 = 5 => b = 5. Step 3: a^2 - b^2 = 16 - 25 = -9.
Correct Answer: A
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