Interpreting marginal effects for logged variable

Hello,

I am running a logit model and i have a variable in my analysis that measures population, I am using a log of population, but I am having trouble interpreting this when i run the margins command.

i know how to interpret marginal effects for a normal continuous variable ("at the mean of X, there is an approximate increase in Y by ...%, controlling for all other variables"). But how do you interpret the marginal effects for a logged version of a variable?


Thanks in advanced