Convert to an exponential equation:

-In45=3.80666249
and
-Log sub.B T^5=W

-In45=3.80666249

this statement is false
should say:
In45=3.80666249
then
e^3.80666249 = 45

again, I will assume you meant:
Log sub.B T^5=W , I read that as: logB T^5 = W
by definition:
T^5 = B^W