Solve log (a – 13) + 3log2 = log (3a + 1) and tell which of the following options state the correct value of a?

Solve log (a – 13) + 3log2 = log (3a + 1) and tell which of the following options state the correct value of a? Correct Answer 21

Given, log (a – 13) + 3log2 = log (3a + 1) ➩ log (a – 13) + log23 = log (3a + 1) ➩ log (a – 13) + log8 = log (3a + 1) ➩ log (8a – 104) = log (3a + 1) ➩ 8a – 104 = 3a + 1 ➩ 5a = 105 ➩ a = 105 / 5 ➩ a = 21

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