Answer :
7 Log 16/15 + 5 Log 25 /54 + 3 Log 87/80
= 7 Log 16 - 7 Log 15 + 5 log 25 - 5 Log 54 + 3 Log 87 - 3 log 80
= 7 * Log 2⁴ - 7 Log (3 * 5) + 5 Log 5² - 5 Log (2*3³) + 3 Log (29*3) - 3 Log (2⁴*5)
= 28 Log 2 - 7 Log 3 - 7 Log 5 + 10 Log 5 - 5 Log 2 - 15 Log 3 + 3 Log 29 + 3 Log 3 - 12 Log 2 - 3 Log 5
= 11 Log 2 - 19 Log 3 = Log (2¹¹ / 3¹⁹)
the answer is not Log 2.
There is something not right in the given question.
= 7 Log 16 - 7 Log 15 + 5 log 25 - 5 Log 54 + 3 Log 87 - 3 log 80
= 7 * Log 2⁴ - 7 Log (3 * 5) + 5 Log 5² - 5 Log (2*3³) + 3 Log (29*3) - 3 Log (2⁴*5)
= 28 Log 2 - 7 Log 3 - 7 Log 5 + 10 Log 5 - 5 Log 2 - 15 Log 3 + 3 Log 29 + 3 Log 3 - 12 Log 2 - 3 Log 5
= 11 Log 2 - 19 Log 3 = Log (2¹¹ / 3¹⁹)
the answer is not Log 2.
There is something not right in the given question.