Question

find 16log 16/15 + 12 log25/24 + 7log81/80​

Answer 1

refer to the attachment

Answer 2

Step-by-step explanation:

Here's your solution

Log 16 /15 + 12 Log 25 / 24 + 7 Log 81/80

= Log 2 + Log (2⁴ / 3*5) + 12 Log (5² / 3*2³) + 7 Log (3⁴ / 2⁴*5)

= Log 2 + 4 * Log 2 - Log 3 - Log 5 + 12 * 2 Log 5 - 12 * Log 3 - 12 * 3 Log 2

+ 7 *4 Log 3 - 7 * 4 Log 2 - 7 * Log 5

= (1 + 4 - 36 - 28) Log 2 + (-1 -12+ 28 ) Log 3 + (-1 + 24 - 7 ) * Log 5

= -59 Log 2 + 15 Log 3 + 16 Log 5

= 1.534