Binary logarithm: Difference between revisions

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-The symbols '''log2''', '''lb''' or '''ld''' are used for the '''[[Wikipedia: Binary logarithm|binary logarithm]]''', also called '''dual logarithm''' or '''logarithm base two'''.
+{{Wikipedia}}
+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.
-== 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"
-! [[Prime]]
+|-
-! Log2 Prime
+! ''p''
+! log<sub>2</sub>''p''
 |-
 | 2
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 |}
-You can calculate the binary logarithm of n like this:
+[[Category:Elementary math]]
- log2(n) = ln(n)/ln(2)
-[[Category:Howto]]
-[[Category:Math]]
-[[Category:Practical help]]
 [[Category:Terms]]
-{{todo| improve synopsis }}