Log of 200 (Base 10)
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What is log 200?
Answer
log 200 ≈
2.3010
log here is the common log, base 10.
≈ — the logarithm is irrational; the value is rounded to 4 decimal places.
log 200 is the power you raise 10 to, to get 200: 10y = 200.
10² = 100 < 200 < 1,000 = 10³, so 2 < log 200 < 3
log 200 = ln 200 / ln 10 ≈ 5.298317 / 2.302585 ≈ 2.3010
Answer point ≈ (200, 2.3010), beyond the drawing (the arrow points to it).
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.
| Base | Notation | Value |
|---|---|---|
| e | ln 200 | ≈ 5.2983 |
| 10 | log 200 | ≈ 2.3010 |
| 2 | log₂ 200 | ≈ 7.6439 |
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See Also
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