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minor edit
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Syed
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EDIT

HistogramList[data, "Log", "Probability"]

or for the counts:

HistogramList[data, "Log", "Count"]

ListPlot[Last@%]

Original answer

data = RandomVariate[NormalDistribution[0, 1], 200];
Histogram[data]

enter image description here

Histogram[data, ScalingFunctions -> {"Log", "Log"}]

enter image description here

Histogram[data, {"Log", "Sturges"}]

enter image description here

data = RandomVariate[NormalDistribution[0, 1], 200];
Histogram[data]

enter image description here

Histogram[data, ScalingFunctions -> {"Log", "Log"}]

enter image description here

Histogram[data, {"Log", "Sturges"}]

enter image description here

EDIT

HistogramList[data, "Log", "Probability"]

or for the counts:

HistogramList[data, "Log", "Count"]

ListPlot[Last@%]

Original answer

data = RandomVariate[NormalDistribution[0, 1], 200];
Histogram[data]

enter image description here

Histogram[data, ScalingFunctions -> {"Log", "Log"}]

enter image description here

Histogram[data, {"Log", "Sturges"}]

enter image description here

Source Link
Syed
  • 59.6k
  • 5
  • 40
  • 95

data = RandomVariate[NormalDistribution[0, 1], 200];
Histogram[data]

enter image description here

Histogram[data, ScalingFunctions -> {"Log", "Log"}]

enter image description here

Histogram[data, {"Log", "Sturges"}]

enter image description here