Logarithm of Infinity

What is the logarithm of infinity?

log10(∞) = ?


Since infinity is not a number, we should use limits:

x approaches infinity

The limit of the logarithm of x when x approaches infinity is infinity:

lim log10(x) = ∞


x approaches minus infinity

The opposite case, the logarithm of minus infinity (-∞) is undefined for real numbers, since the logarithmic function is undefined for negative numbers:

lim log10(x) is undefined

  x → -∞


Logarithm of negative number ►


See also

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