Question

Is the inverse of ln(a/b) equal to ln(b/a)?

Answer 1

ln has an inverse?!?!?!?! woahh.

Answer 2

what does "inverse" mean in this context?

Answer 3

How do I say (1/ ln (b/a))?

Answer 4

reciprocal.

Answer 5

If you're looking for the multiplicative inverse or reciprocal of ln(a/b), it is NOT ln(b/a) because

ln(b/a) = -ln(a/b)

(why? you should know this from properties of ln)

Answer 6

Here's what James said spelled out in case you need it:
ln(a/b)=ln(a)- ln(b)
ln(b/a)=ln(b)-ln(a)=-ln(a/b)

Answer 7

Or alternatively ln(c) = -ln(1/c)