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# Template:Log-star/doc

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[⧼Purge⧽ Template:Log-star/doc]

The {{log-star}} mathematical formatting template displays a raised text-style low asterisk, since a superscript script-style asterisk is both too high and too small for some mathematical notation, e.g. for the iterated logarithm denoted log . It also links to iterated logarithm.

Code Result
{{log-star}} vs. log{{sup|*}} vs. [[iterated logarithm|log{{sup|*}}]] log  vs. log

## Examples

Examples with valid arguments:

Code Result
`{{math|{{log-star}}|&}}`
 log ⁎
`{{math|{{log-star|10}}|&}}`
 log ⁎10
`{{math|{{log-star|lg}}|&}}`
 lg ⁎
`{{math|{{log-star|2}}|&}}`
 log ⁎2
`{{math|{{log-star|lb}}|&}}`
 lb ⁎
`{{math|{{log-star|''e''}}|&}}`
 log ⁎e
`{{math|{{log-star|ln}}|&}}`
 ln ⁎
`{{math|{{log-star|''a''}}|&}}`
 log ⁎a

The code

`{{math|{{log-star|2}} 65536 {{=}} {{log^*|65536|2}}|&}}`

yields

 log ⁎2 65536 = 4

Examples with invalid arguments:

Code Result
{{log-star|-1}} Log-star error: Base (first argument) must be greater than 1
{{log-star|0}} Log-star error: Base (first argument) must be greater than 1
{{log-star|1}} Log-star error: Base (first argument) must be greater than 1

```

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