I think you are looking for this
tmp <- abs(rnorm(100, s=8))
ltmp <- log(tmp)
plot(ltmp, type="h", yaxt="n", main="what you want")
exp(par("usr")[3:4])
par("yaxp")[1:2]
logticks <- axTicks(2, axp=c(10^c(-1,3),3), log=TRUE)
axis(2, at=log(logticks), labels=logticks)
plot(tmp, type="h", log="y", main="standard")