Evaluate the logarithim ln 1 over square root e^3

For this case we have the following expression:
 ln (1 / root (e ^ 3))
 Rewriting we have:
 ln (1 / (e ^ (3/2)))
 Using power properties we have:
 ln (e ^ - (3/2))
 By properties of ln we have:
 ln (e ^ - (3/2)) = -3/2
 
 -3/2
 option B