php - How to find the % of a value on a Y axis of a LOG graph? -

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wow, 1 though!

i'm trying find in php % of value relative y axis. if refer graph : http://en.wikipedia.org/wiki/semi-log_graph (2009 outbreak of influenza a), let's want find % value "256" on chart.

visually, it's easy : it's bit more 1/3 or 33%. if @ 1024 value, it's around 50% of height of y axis. 131072 100%.

so how calculate php?

let's take graph , take x = day 0 , y = 256. 256 % of y ?

thanks lot can compute baby :) 

percent = 100 * ( log(y) - log(y1) ) / ( log(y2) - log(y1) )

where

y = value  y1 = smallest value in y-axis y2 = largest value in y-axis.

when y1 = 1.0 can simplify other answers given here (since log(1)=0 definition)

percent = 100 * log(y)/log(y2)

note not log charts have 1.0 lowest value.


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