Binary logarithm: Difference between revisions
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{{Wikipedia | {{Wikipedia}} | ||
The | 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''. The binary logarithm of a [[frequency ratio]] measures its size in [[2/1|octave]]s. [[Interval size measure]]s proportional to the octave, such as the [[cent]], can be found by multiplying the size in octaves by a constant. | ||
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" | ||
! | |- | ||
! | ! ''p'' | ||
! log<sub>2</sub>''p'' | |||
|- | |- | ||
| 2 | | 2 | ||
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|} | |} | ||
[[Category:Elementary math]] | [[Category:Elementary math]] | ||
[[Category:Terms]] | [[Category:Terms]] | ||