Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
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Contracts sums of logarithms into a single logarithm
Reproduce a basic Log identity:
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Find conditions for which Log[a]-Log[b] is equal to Log[a/b]:
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Contract logs, disregarding branch cut issues:
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The result is not generically true:
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LogContract automatically threads over equations:
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LogContract is essentially the inverse of PowerExpand for logarithmic expressions:
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Contracting to the original expression:
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The default option setting for Assumptions is $Assumptions. By default $Assumptions=True, meaning that LogContract gives a universally correct result:
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With the setting Automatic, a maximal set of assumptions are used and the output is not generically correct:
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A simpler result is obtained with suitable assumptions:
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Contract logs assuming real arguments:
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The default option for LogContract is Assumptions→True, unlike PowerExpand which uses Automatic as the default:
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