Question

Find log54 168 if log7 12 = a and log12 24 = b. the answer needs to be in terms of a and b. *PROVIDE COMPLETE SOLUTION*

Answer 1

Answer:

Answer Expert Verified. Given: log7 12=a and log12 24=b log54 168. To find: Express log54 168 in terms of a and b. Solution: From given, we have, log7 12=a and log12 24=b multiplying the above 2 we get, ab = log7 12 × log12 24. (ab + 1)/(8a - 5 ab) = log54 168. ∴ log54 168 = (ab + 1)/(8a - 5 ab)