Given log 3 = 0.4771, then what would be the value of (log (0.27)2 * log (27 / 10)2/3) / (log 9)?

Given log 3 = 0.4771, then what would be the value of (log (0.27)2 * log (27 / 10)2/3) / (log 9)? Correct Answer -0.3427

Given log 3 = 0.4771. (log (0.27)2 * log (27 / 10)2/3) / (log 9) = (2(log (27 / 100)) * 2 / 3 log (27 / 10)) / 2 log 3 = (2(log 33 – log 102) * 2 / 3 (log 32 – log 10)) / 2 log 3 = (2(3 log 3 – 2 log 10) * 2 / 3 (3 log 3 – log 10)) / 2 log 3 Substituting value of log 3 as given, = (2(3 * 0.4771 – 2) * 2 / 3 (3 * 0.4771 – 1)) / 2 * 0.4771 = (2 * (- 0.5687) * 2 / 3 (0.4313)) / 0.9542 = (- 1.1374 * 0.2875) / 0.9542 = -0.3427