Natural Log of 1000 (ln 1000)

What is ln 1,000?

Answer

ln 1,000 ≈

6.9078

ln is the natural log, base e ≈ 2.71828.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

ln 1,000 is the power you raise e ≈ 2.71828 to, to get 1,000: e^y = 1,000.

e⁶ ≈ 403.4288 < 1,000 < e⁷ ≈ 1,096.6332, so 6 < ln 1,000 < 7

Answer point ≈ (1,000, 6.9078), beyond the drawing (the arrow points to it).

The curve y = ln x passes through (1, 0) and (e, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

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