Which value of a would satisfy (log2
Which value of a would satisfy (log2 Correct Answer 2 – log2a4 – 32 = 0 if, a is an integer? ] 256
Given, (log2a)2 – log2a4 – 32 = 0 ➩ (log2a)2 – 4 log2a – 32 = 0 Let, log2a = z ➩ z2 – 4z – 32 = 0 ➩ z2 – 8z + 4z – 32 = 0 ➩ z (z – 8) + 4 (z – 8) = 0 ➩ (z – 8) (z + 4) = 0 ➩ z = 8, – 4 According to the question, ➩ log2a = z ➩ log2a = 8 or – 4 ➩ a = 28 or 2-4 ➩ a = 256 or 1 / 16 As a is an integer thus, a = 256.
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Feb 20, 2025