How do you write as a single logarithm 12logb3+12logbx3logbZ?

1 Answer
Mar 15, 2018

logb(3xZ3)

Explanation:

Since xlogy=logyx, we can write:

logb3+logbxlogbZ3

Since loga+logb=log(ab), we write:

logb3xlogbZ3

Since logalogb=log(ab), we can write:

logb(3xZ3)