score:3

I found this configuration worked for me:

  yAxis: {
    gridLineColor: 'transparent',
    allowDecimals: false,
    type: 'logarithmic',
    tickInterval: 0.1,
    startOnTick: false,
    lineWidth: 0,
    gridLineWidth: 0,
    minorGridLineWidth: 0
  },

bear in mind that the tickInterval property works differently for logarithmic axes, i.e. 1 would be a label at every power of 10, so for this data set at least you want an interval of 0.1

Fiddle


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