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ggplot2 scale_x_log10() in R: Log-Transform the X Axis

The scale_x_log10() function in ggplot2 is a shortcut to log10-transform the X axis. It is essential for visualizing wide-range or skewed data where small and large values must coexist on one plot.

By Selva Prabhakaran  ·  Published May 12, 2026  ·  Last updated May 12, 2026
⚡ Quick Answer
+ scale_x_log10()
+ scale_x_log10(labels = scales::comma)
+ scale_x_log10(breaks = c(1, 10, 100, 1000))
+ scale_x_continuous(trans = "log10")     # equivalent
+ scale_x_log10(labels = scales::label_log())

Need explanation? Read on for examples and pitfalls.

📊 Is scale_x_log10() the right tool?
STARTlog10 transform xscale_x_log10()natural logscale_x_continuous(trans = "log")sqrtscale_x_sqrt()y-axis logscale_y_log10()arbitrary transscale_x_continuous(trans = "...")

What scale_x_log10() does in one sentence

scale_x_log10() log10-transforms the X axis values, equivalent to scale_x_continuous(trans = "log10") but shorter. Useful for skewed positive data spanning multiple orders of magnitude.

Syntax

scale_x_log10(name = waiver(), breaks = waiver(), labels = waiver(), ...). Same arguments as scale_x_continuous.

Run live
Run live, no install needed. Every R block on this page runs in your browser. Click Run, edit the code, re-run instantly. No setup.
RLog x for diamond price
library(ggplot2) library(scales) ggplot(diamonds, aes(carat, price)) + geom_point(alpha = 0.1) + scale_x_log10(labels = comma)

  

  





Tip
Log scales fail on zero or negative values. All x values must be > 0. ggplot will drop non-positive points with a warning.



Five common patterns



1. Standard log x




  

    
RLog scale with default labels

    
+ scale_x_log10()

    

      
      
    

    

  

  





2. Comma-formatted log labels




  

    
RReadable big numbers

    
+ scale_x_log10(labels = scales::comma)

    

      
      
    

    

  

  





3. Custom breaks




  

    
RPowers of 10

    
+ scale_x_log10(breaks = c(1, 10, 100, 1000, 10000))

    

      
      
    

    

  

  





4. Scientific notation labels




  

    
R10^N notation

    
+ scale_x_log10(labels = scales::label_log())

    

      
      
    

    

  

  





5. Both axes log




  

    
RLog-log plot

    
+ scale_x_log10() + scale_y_log10()

    

      
      
    

    

  

  





Key Insight
Log scales reveal multiplicative relationships. If raw scatter looks like a curve, log-transforming x or y often makes it linear, exposing power-law or exponential structure.



scale_x_log10() vs scale_x_continuous(trans=) vs scale_x_sqrt







Function
Transform






scale_x_log10()
Log base 10 (shortcut)




scale_x_continuous(trans = "log10")
Same; explicit




scale_x_continuous(trans = "log")
Natural log




scale_x_sqrt()
Square root




scale_x_continuous(trans = "log2")
Log base 2







A practical workflow



For skewed data (revenue, GDP, population, etc.), log scales are the default visualization choice.




  

    
RInteractive R

    
ggplot(diamonds, aes(carat, price, color = cut)) +
  geom_point(alpha = 0.3) +
  scale_x_log10(labels = comma) +
  scale_y_log10(labels = scales::dollar)

    

      
      
    

    

  

  





Both axes log; comma + dollar formatting.



Common pitfalls



Pitfall 1: zero or negative values. Log fails for non-positive numbers. Filter or shift before plotting.



Pitfall 2: misleading interpretation. Linear-looking trends on log axes are EXPONENTIAL in raw data. Always disclose log scales in titles or captions.



Warning
scale_x_log10() may produce unexpected breaks. For control, set breaks = c(1, 10, 100, ...) explicitly.



Try it yourself





Try it: Plot mtcars hp on log10 x with comma-formatted labels. Save to ex_plot.



  

    
RYour turn: log x

    
library(scales)

ex_plot <- mtcars |>
  ggplot(aes(hp, mpg)) +
  geom_point() +
  # your code here

    

      
      
    

    

  

  





Click to reveal solution



  

    
RSolution

    
ex_plot <- ggplot(mtcars, aes(hp, mpg)) +
  geom_point() +
  scale_x_log10(labels = comma)

    

      
      
    

    

  

  





Explanation: Log10 x-axis with comma labels.










After mastering scale_x_log10, look at:



    


  • scale_y_log10(): log y axis
    • 


  • scale_x_sqrt(): square root x
    • 


  • scale_x_continuous(trans = ...): arbitrary transformations
    • 


  • coord_trans(x = "log10"): visual-only transform (no stat impact)
    • 


  • scales::label_log() / comma: label formatters
    • 





FAQ



What does scale_x_log10 do in ggplot2?



scale_x_log10() log10-transforms the X axis. Shortcut for scale_x_continuous(trans = "log10").



How do I add comma labels to log x?



scale_x_log10(labels = scales::comma).



Can I use log10 with negative numbers?



No. Log fails on zero and negative values; ggplot drops those points with a warning.



What is the difference between scale_x_log10 and coord_trans(x = "log10")?



scale_x_log10 transforms the data BEFORE stats run (e.g., regression line is fit on log values). coord_trans transforms only the VISUAL after stats run.



How do I get powers-of-10 axis labels?



scale_x_log10(labels = scales::label_log()) produces 10^N format.



          

        


        
      


      

        

        
© 2016-2026 Selva Prabhakaran.
          This work is licensed under the Creative Commons License.
        

        

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