Log of 1.6 (Base 10)

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What is log 1.6?

Answer

log 1.6 ≈
0.2041

log here is the common log, base 10.

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

log 1.6 is the power you raise 10 to, to get 1.6: 10y = 1.6.

10⁰ = 1 < 1.6 < 10 = 10¹, so 0 < log 1.6 < 1

log 1.6 = ln 1.6 / ln 10 ≈ 0.470004 / 2.302585 ≈ 0.2041

Oxy

Answer point ≈ (1.6, 0.2041).

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 1.6 in different bases
BaseNotationValue
eln 1.6≈ 0.4700
10log 1.6≈ 0.2041
2log₂ 1.6≈ 0.6781

See Also

Common log of nearby numbers

FAQ

What is log 1.6?

log 1.6 ≈ 0.2041

What is the difference between log 1.6 and ln 1.6?

ln 1.6 is the logarithm to base e, log 1.6 is to base 10: ln 1.6 ≈ 0.4700, log 1.6 ≈ 0.2041. One is the other divided by ln 10: log 1.6 = ln 1.6 / ln 10 ≈ 0.2041.

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.