log: Difference between revisions

Revision as of 11:12, 12 May 2022

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Description:: Base-10 logarithm of x.

The function of log(x) will never touch the y-axis.
Groups:: Math

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: Posted on 23:14, 16 Jun 2014
ffur2007slx2_5: To clarify: y = 10 ^ x // x = log y People use logarithm at the purpose of simplifying multiplication via exponents plus years before. 23456*45634 = 1.07039e+009 log 23456 = 4.37025; log 45634 = 4.65929; (log 23456) + (log 45634) = 9.02954 10^((log 23456) + (log 45634)) = 10 ^ 9.02954 // same as 23456*45634 As modern usage, for instance, to evaluate another exponent when multiple is known (Which magnitude is 4 times stronger than 8.3 earthquake?): //_Unknown = log x; 8.3 = log y // x = 10 ^_Unknown; y = 10 ^8.3 //x/y = (10 ^_Unknown)/(10 ^8.3) = log 4 // x/y = _Unknown – 8.3 = 0.6 //_result = 8.9 magnitude _result = (log 4) + 8.3

@@ Line 34: / Line 34: @@
 |x1= <sqf>_log = log 10;</sqf>
-|x2= <code>_log = log [[abs]] -10;</code>
+|x2= <code>_log = log abs -10;</code>
-|x3= <code>finite [[log]] -10; {{cc|Returns false}}</code>
+|x3= <code>finite log -10; {{cc|Returns false}}</code>
 |seealso= [[Math Commands]], {{Wikipedia|Logarithm|Logarithm}}