Histogram with "negative" logarithmic scale in R

I have a dataset with some outliers, such as the following

x <- rnorm(1000,0,20)
x <- c(x, 500, -500)

If we plot this on a linear x axis scale at this we see

histogram(x)

I worked out a nice way to put it on a log scale using this useful thread: how to use a log scale for y-axis of histogram in R? :

mat <- data.frame(x)
ggplot(ee, aes(x = xx)) + geom_histogram(colour="darkblue", size=1, fill="blue") + scale_x_log10()

However, I would like the x axis labels from this 2nd example to match that of the first example, except with a kind of "negative log" - i.e. first tick (moving from the centre to the left) could be -1, then the next could be -10, the next -100, but all equidistant. Does that make sense?