As per symbiotic comment in 2014, more recent versions of ''stargazer'' have the options ''apply.*'' for ''coef'' ''se'' ''t'' ''p'' and ''ci'' allowing the direct transformation of these statistics.
apply.coef a function that will be applied to the coefficients.
apply.se a function that will be applied to the standard errors.
apply.t a function that will be applied to the test statistics.
apply.p a function that will be applied to the p-values.
apply.ci a function that will be applied to the lower and upper bounds of the confidence intervals.
Meaning you can directly use...
stargazer(model,
apply.coef = exp,
apply.se = exp)
EDIT : I have noticed however that simply exponentiating the CIs does not give what you would expect.
EDIT : You can obtain the correct CIs using the method described here.
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