Which value of a would satisfy log5 + log (a + 5) = log (5a + 10) + 1?
Which value of a would satisfy log5 + log (a + 5) = log (5a + 10) + 1? Correct Answer –1.66
Given, log5 + log (a + 5) = log (5a + 10) + 1 ➩ log (5(a + 5)) = log (5a + 10) + log10 ➩ log (5(a + 5)) = log (10(5a + 10)) ➩ 5(a + 5) = 10(5a + 10) ➩ 5a + 25 = 50a + 100 ➩ -45 a = 75 ➩ a = -(75 / 45) ➩ a = -1.66
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Feb 20, 2025