Which of the following options is the correct simplified form of the expression log (75 / 16) – 2log (5 / 9) + log (32 / 343)?
Which of the following options is the correct simplified form of the expression log (75 / 16) – 2log (5 / 9) + log (32 / 343)? Correct Answer log 2
Given, ➩ log (75 / 16) – 2log (5 / 9) + log (32 / 343) ➩ log (25 * 3 / 4 * 4) – log (25 / 81) + log ((16 * 2) / (81 * 3)) ➩ log (25 * 3) – log (4 * 4) – log (25) + log (81) + log (16 * 2) – log (81 * 3) ➩ log 25 + log 3 – log 16 – log 25 + log 81 + log 16 + log 2 – log 81 – log 3 ➩ on simplifying gives log 2.