Answer Happy

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) — In(b) = In(a − b) for all positive real numbers a and b. - True. Take a = 4 and b = 2. Then In(a) – In(b) = ln(4) - In(2) - 4 In - (½) = In(2). And In(a − b) = In(4 − 2) = In(2). True. This is one of the Laws of Logarithms. False. In(a - b) = In(a) – In(b) only for negative real numbers a and b. False. In(a - b) = In(a) – In(b) only for positive real numbers a > b. False. Take a = 2 and b = 1. Then In(a) – In(b) = In(2) − In(1) = In(2) — 0 = In(2). But In(a − b) = In(2 − 1) = In(1) = 0.