Log of 0 (Base 10)
Logarithm Calculator
What is log 0?
Answer
log 0
does not exist
log here is the common log, base 10.
10 raised to any power is greater than zero, so no power gives 0. The closer x gets to 0, the lower log x: log 0.001 = −3.
We look for y with 10y = 0.
The curve y = log x passes through (1, 0) and (10, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.
The graph has no point at x = 0: the curve goes down along the y-axis.
| Base | Notation | Value |
|---|---|---|
| e | ln 0 | does not exist |
| 10 | log 0 | does not exist |
| 2 | log₂ 0 | does not exist |
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See Also
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- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89
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