Log of −2 (Base 10)
Logarithm Calculator
What is log(−2)?
Answer
log(−2)
does not exist
log here is the common log, base 10.
10 raised to any power is a positive number, so the negative number −2 cannot be reached.
We look for y with 10y = −2.
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 exists only to the right of the y-axis: there is no point at x = −2.
| Base | Notation | Value |
|---|---|---|
| e | ln(−2) | does not exist |
| 10 | log(−2) | does not exist |
| 2 | log₂(−2) | does not exist |
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