Log of 1000 (Base 10)

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Log base
x

What is log 1,000?

Answer

log 1,000 =
3

log here is the common log, base 10.

log 1,000 is the power you raise 10 to, to get 1,000: 10y = 1,000.

10³ = 1,000 ✓

Oxy

Answer point (1,000, 3), 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.

Log of 1,000 in different bases
BaseNotationValue
eln 1,000≈ 6.9078
10log 1,0003
2log₂ 1,000≈ 9.9658

See Also

FAQ

What is log 1,000?

log 1,000 = 3

How to find log 1,000 without a calculator?

Write 1,000 as a power of 10: 1,000 = 10³. The exponent is the answer: log 1,000 = 3.

What is e?

e ≈ 2.71828 is the base of the natural logarithm: ln x is the logarithm of x to base e, so ln e = 1. It is an irrational number, like π.