edit: just realised I misread you - Log (x+1) is what I did, log (x+1) was what I meant to do.
Why?
It linearizes it like I said, which is one of the main reasons for logging charts.
It noes not "linearize" it, it distorts it until it fits what you
want to see.
Reality (this is what happened):
(a) The price increased 900% from 0.1 to 1
(b) The price increased 900% from 10 to 100
if you add your $1 to all prices to distort the chart then it would seem like it
(a) increased 10% from 1.1 to 11
(b) increased 900% from 11 to 101
So the gains during early period (a) are played down heavily while the gains at later period (b) remain as big as they were. This is neither a linear chart nor a log chart, its something completely meaningless (adding this $1 to all prices does not model any underlying concept or effect from reality, the $1 does not make any sense at all!)
You applying dirty tricks to distort reality, to bend the curve until it matches your line, there is no reason to add the arbitrary amount of $1 to all prices before logging, you are manipulating other people with your made-up nonsense charts!