I have the following problem: I would like to visualize a discrete and a continuous variable on a boxplot in which the latter has a few extreme high values. This makes the boxplot meaningless (the points and even the &quot;body&quot; of the chart is too small), that is why I would like to show this on a log10 scale. I am aware that I could leave out the extreme values from the visualization, but I am not intended to.

Let&#39;s see a simple example with diamonds data:

    m &lt;- ggplot(diamonds, aes(y = price, x = color))
![alt text][1]


The problem is not serious here, but I hope you could imagine why I would like to see the values at a log10 scale. Let&#39;s try it:

    m + geom_boxplot() + coord_trans(y = &quot;log10&quot;)
![alt text][2]

As you can see the y axis is log10 scaled and looks fine but there is a problem with the x axis, which makes the plot very strange.

The problem do not occur with `scale_log`, but *this is not an option for me*, as I cannot use a custom formatter this way. E.g.:

    m + geom_boxplot() + scale_y_log10() 
![alt text][3]

My question: does anyone know a solution to plot the boxplot with log10 scale on y axis which labels could be freely formatted with a `formatter` function like in this [thread][4]? 

---

**Editing the question to help answerers based on answers and comments:**

What I am really after: one log10 transformed axis (y) with not scientific labels. I would like to label it like dollar `(formatter=dollar)` or any custom format.

If I try @hadley&#39;s suggestion I get the following warnings:

    &gt; m + geom_boxplot() + scale_y_log10(formatter=dollar)
    Warning messages:
    1: In max(x) : no non-missing arguments to max; returning -Inf
    2: In max(x) : no non-missing arguments to max; returning -Inf
    3: In max(x) : no non-missing arguments to max; returning -Inf

With an unchanged y axis labels:

![alt text][5]


  [1]: http://i.stack.imgur.com/aK2Ro.png
  [2]: http://i.stack.imgur.com/ifWhk.png
  [3]: http://i.stack.imgur.com/SUdX5.png
  [4]: https://stackoverflow.com/q/4646020/564164
  [5]: http://i.stack.imgur.com/sRScn.png

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Transform only one axis to log10 scale with ggplot2