Logarithmic Scale

This web site builds the control from code behind but you could also grab it from the toolbox, this sample also uses a ViewModel to populate the properties of the control(s) in this sample.

sample image

View model

using System;
using CommunityToolkit.Mvvm.ComponentModel;
using LiveChartsCore;
using LiveChartsCore.SkiaSharpView;

namespace ViewModelsSamples.Axes.Logarithmic;

[ObservableObject]
public partial class ViewModel
{
    // base 10 log, change the base if you require it.
    // or use any custom scale the logic is the same.
    private static readonly int s_logBase = 10;

    public ISeries[] Series { get; set; } =
    {
        new LineSeries<LogarithmicPoint>
        {
            Mapping = (logPoint, chartPoint) =>
            {
                // for the x coordinate, we use the X property of the LogaritmicPoint instance
                chartPoint.SecondaryValue = logPoint.X;

                // but for the Y coordinate, we will map to the logarithm of the value
                chartPoint.PrimaryValue = Math.Log(logPoint.Y, s_logBase); // mark
            },
            Values = new LogarithmicPoint[]
            {
                new() { X = 1, Y = 10 },
                new() { X = 2, Y = 100 },
                new() { X = 3, Y = 1000 },
                new() { X = 4, Y = 10000 },
                new() { X = 5, Y = 100000 },
                new() { X = 6, Y = 1000000 },
                new() { X = 7, Y = 10000000 }
            }
        }
    };

    public Axis[] YAxes { get; set; } =
    {
        new Axis
        {
            // forces the step of the axis to be at least 1
            MinStep = 1,

            // converts the log scale back for the label
            Labeler = value => Math.Pow(s_logBase, value).ToString() // mark
        }
    };
}

LogarithmicPoint.cs

namespace ViewModelsSamples.Axes.Logarithmic;

public class LogarithmicPoint
{
    public double X { get; set; }
    public double Y { get; set; }
}

Form code behind

using System.Windows.Forms;
using LiveChartsCore.SkiaSharpView.WinForms;
using ViewModelsSamples.Axes.Logarithmic;

namespace WinFormsSample.Axes.Logarithmic;

public partial class View : UserControl
{
    private readonly CartesianChart cartesianChart;

    public View()
    {
        InitializeComponent();
        Size = new System.Drawing.Size(50, 50);

        var viewModel = new ViewModel();

        cartesianChart = new CartesianChart
        {
            Series = viewModel.Series,
            YAxes = viewModel.YAxes,

            // out of livecharts properties...
            Location = new System.Drawing.Point(0, 0),
            Size = new System.Drawing.Size(50, 50),
            Anchor = AnchorStyles.Left | AnchorStyles.Right | AnchorStyles.Top | AnchorStyles.Bottom
        };

        Controls.Add(cartesianChart);
    }
}

Articles you might also find useful: