Question 969857
You are correct:

P=1000[1 + (0.06/12)]^m
P=1000(1.005)^m
Isolate m to get the inverse.

{P/1000) = (1.005)^m
log (P/1000)= m log (1.005)

Taking the log removes the exponent.

m=log (P/1000)/0.00217   the denominator is the log (1.005)

OR

m=(log P  - log 1000)/.00217

m=(log P -3)/0.00217