Ln [x] = Log (base e) [x]
2007-08-11 09:43:04
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answer #1
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answered by Anonymous
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"Ln" is the natural log, while "log" is a common log. "Ln" has base "e", while "log" has base 10. Notice that both 10 and e are numbers and have numerical values. You cannot substitue a number for "log x", so you cannot substitute a number for "ln x". You compared the wrong numbers. The function "ln" uses "e" as its number base, so there is no substitution. It would be more appropriate to compare ln x with log x, or e^x with 10^x. That is more consistent. The first set are functions; the second set are numbers.
2007-08-11 17:41:19
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answer #2
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answered by james w 5
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ln (which stands for natural logarithm) is NOT A NUMBER therefore there is NO SUBSTITUTION that you can make for it. Ln is just an operator which needs a number otherwise it is useless. It is just like asking how do we replace the + sign or the % sign.
E is a number and it is a constant number. That is why we can replace it. Ln is not a number so you can't replace it by a number. Furthermore, ln is an operator which means that it is completely useless to write it without a number like ln(2) or something.
2007-08-11 16:42:24
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answer #3
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answered by The Prince 6
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e is a constant and Ln is a function or operation so there is no substitution for it.
when you say log of 100 you are in fact asking what power do I have to raise 10 to get 100 and here the base (10) is an agreed upon constant without mention. Well when you say Ln5, you are saying that my log base is now the natural constant e, so to what power do I have to raise e or 2.718 to get 5 and the answer is what you get when you punch in Ln5 in your calculator, or 1.609.
2007-08-11 16:52:20
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answer #4
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answered by 037 G 6
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