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The logarithm of zero is defined as approaching negative infinity because logarithmic functions represent the exponent to which a base must be raised to produce a given number. As the input to the logarithm approaches zero from the positive side, the exponent needed to achieve that value becomes increasingly negative. Therefore, ( \log_b(0) ) tends toward negative infinity, indicating that no finite exponent can result in zero when using positive bases.
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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.
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.
What is infinity take away 1?
As difficult as it is to understand, Infinity minus 1 is still Infinity.
What is value of log infinity?
infinite
