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Why does the natural log of 0 not exist?

Updated: 4/28/2022
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12y ago

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there is no power that you could possibly raise a base to, to equil 0. n^0=1

and n^(a+bi)=a negative number

were n is not 0

were (a+bi) is a complex power

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12y ago
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Q: Why does the natural log of 0 not exist?
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Related questions

Does the limit as x approaches 0 exist of loglogx-1 exist?

1


What is the domain of the natural log function?

The domain of y=lnx is (0,∞) and the range is (-∞,∞).


Derivative of natural log?

Derivative of natural log x = 1/x


How do you make natural log to log with base of 10?

To make a natural log a log with the base of 10, you take ten to the power of you natural log. Ex: ln15=log10ln15=log510.5640138 I'm sorry if you don't have a calculator that can do this, but this will work.


What is the Natural log of 0?

The answer is "no solution." ln(0) means e^x=0, and nothing raised to any power can ever equal zero. The domain of y=lnx is (0,∞) and the range is (-∞,∞).


How many types of logarithm?

Natural log Common log Binary log


Why log 0 is infinite?

the definition of log N = X is 10 to the X power =N for log 0 we have 10 to the x power = 0 The solution for x is that x is very large (infinite) and negative, that is, minus infinity As N gets smaller and smaller, log N approaches minus infinity log 1 = 0 log .1 = -1 log .001 = -3 log .000001 = -6 log 0 = -infinity


Rules of log?

Here are a few, note x>0 and y>0 and a&b not = 1 * log (xy) = log(x) + log(y) * log(x/y) = log(x) - log(y) * loga(x) = logb(x)*loga(b) * logb(bn) = n * log(xa) = a*log(x) * logb(b) = 1 * logb(1) = 0


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Natural log.


What is the natural log of i?

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What is the natural log of 100?

The natural log of 100 is about 4.605. The transcendental number e (about 2.718281828) raised to the power of 4.605 is 100.


What is value of 20log10?

20 log 10 = log (10^20) The actual value will depend upon the base use for the logarithm - "log" means logarithms taken to any base, and when calculated it gives to what power the base needs to be raised to get the original number. Two bases are used a lot and have specific abbreviations: * logs to base 10 are known as common logs and are usually abbreviated to "lg"; * logs to base e (= 2,71828...) are known as natural logs and are abbreviated to "ln". On a scientific calculator, the [log] button is common logs ([lg]). If [2][0][log][1][0][=] is entered on a modern Casio scientific calculator the result will be 20 × lg 10 = 20 x 1 = 20. On an older (or different model without "natural entry") scientific calculator [2][0][×][1][0][log][=] will need to be entered If natural logs are used: 20 log 10 = 20 ln 10 ≈ 20 × 2.303 +≈ 46.052.