Binary logarithm: Difference between revisions

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-The symbols '''log2''', '''lb''' or '''ld''' are used for the '''[http://en.wikipedia.org/wiki/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:
-{| class="wikitable"
+$$ \log_2(n) = \ln(n) / \ln(2) $$
-! [[prime]]
-! log2 prime
+== Binary logarithms of the first primes ==
+{| class="wikitable center-all"
+|-
+! ''p''
+! log<sub>2</sub>''p''
 |-
 | 2
-| 1
+| 1.000000000
 |-
 | 3
@@ Line 38: / Line 43: @@
 |}
-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]]
-[[Category:Todo:improve synopsis]]