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First let's say log100=x

If we rearrange this into exponential form, we get 10x=0

Now we know that a number to ANY exponent will NEVER give 0, it's mathematically impossible, unless you start dealing with infinities.

If we put in infinity for "x", we have 10infinity=0, however, we know this can't be possible, because if 10 is to the power of a positive number (even if it is infinitely small ("x" will just keep getting closer to 0 which will make the answer equal 1, and that's the absolute lowest number you can have with a positive exponent)) then it will never come close to 0.

Instead, if we have 10-infinity=0 we understand that the number becomes infinitely small (closer and closer to 0). Although it never technically reaches 0, it becomes so small that it is negligible. This idea is the same as a limit in calculus.

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Q: Why is the log of 0 equal to -infinity why not infinity?
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Value of log 0?

the value of log0 is -infinity which is minus of infinity


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


What is the value of log 0?

Value of log 0 is negative infinity (undefined). Because no power can give an answer of zero. it is in fact undefined but written as negative infinity for symbolizing. Otherwise undefined and infinity are two different things.


What are the asymptotes of a logarithmic function?

As x tends towards 0 (from >0), log(x) tend to - infinity. As x tends to + infinity so does log (x), though at a much slower rate.


Is infinity divided by infinity equal 1?

Firstly we don't know infinity value. If you divide any number by infinity then answer will be zero. Example is divide 100/3 by infinity ( let infinity is equal to 1/0). Then answer is 100/3/1/0 you will get zero.


What does 0 over 8 equal?

infinity! (and beyond)


Does a negative infinity times any number equals zero?

0 is the only number times infinity equal to 0


What is the log of infinite to the base 10?

The log of infinity, to any base, is infinity.


Who log zero is infinity?

Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.


X plus X equals X What does X equal if it is not 0 or infinity?

X = (-infinity, 0) U (0, infinity) The above is read as X equals negative infinity, comma zero, union, zero, comma infinity on an open interval (By the way, this interval is made up of two intervals). A parenthesis by a value indicates it is not included. This means X could equal anything between -infinity and 0 and X can equal anything between 0 and infinity. X can not equal -infinity. X can not equal 0. X can not equal infinity. The interval is open because none of the starting or ending values can be a value of X (It's a parenthesis by all the starting and ending values). There is a parenthesis by 0 because 0 is not a possible value of X (the question says so). There is a parenthesis by -infinity and infinity because they are not real numbers. So whether either of them is included in the answer, they always have a parenthesis by them. If a number was included in an interval, there would be a square bracket by it, like this: [ or ]. If the starting number and the ending number on the interval is included then the interval is closed.


Why does calculators display an error when log 0 is typed?

Because the log of zero is "negative infinity", and the calculator display is too narrow to display that number.


Is infinity equal to zero?

0 is absolutely nothing. Infinity is absolutely everything. So, no. Although there are some interesting mathematical phenomena that seem to make this true (2/0=x) they are not equal.