Binary logarithm: Difference between revisions

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{{Wikipedia| Binary logarithm }}
{{Wikipedia}}
The symbols '''log2''', '''lb''', or '''ld''' are used for the '''binary logarithm''', also called '''dual logarithm''' or '''logarithm base two'''.{{clear}}
The '''binary logarithm''', also called '''dual logarithm''' or '''logarithm base two''' (symbols: '''log<sub>2</sub>''', '''lb''', or '''ld''') of a value ''n'' is the power to which 2 is raised to obtain ''n''. It is part of the conversion formula for [[frequency ratio]] to interval size in [[cent]]s.


== Log2 of the first primes ==
You can calculate the binary logarithm of ''n'' using the identity:
 
$$ \log_2(n) = \ln(n) / \ln(2) $$
 
== Binary logarithms of the first primes ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! [[Prime]]
! ''p''
! Log2 prime
! log<sub>2</sub>''p''
|-
|-
| 2
| 2
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|}
|}


You can calculate the binary logarithm of ''n'' using the identity:
$$ \log_2(n) = \ln(n) / \ln(2) $$
[[Category:Math]]
[[Category:Elementary math]]
[[Category:Elementary math]]
[[Category:Terms]]
[[Category:Terms]]
{{Todo| improve synopsis }}