Natural Log of 60

Logarithm Calculator
Log base
x

What is ln 60?

Answer

ln 60 ≈
4.0943

ln is the natural log, base e ≈ 2.71828.

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

ln 60 is the power you raise e ≈ 2.71828 to, to get 60: ey = 60.

e⁴ ≈ 54.5982 < 60 < e⁵ ≈ 148.4132, so 4 < ln 60 < 5

Oxy

Answer point ≈ (60, 4.0943).

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.

Log of 60 in different bases
BaseNotationValue
eln 60≈ 4.0943
10log 60≈ 1.7782
2log₂ 60≈ 5.9069

See Also

FAQ

What is ln 60?

ln 60 ≈ 4.0943

What is the difference between ln 60 and log 60?

ln 60 is the logarithm to base e, log 60 is to base 10: ln 60 ≈ 4.0943, log 60 ≈ 1.7782. One is the other divided by ln 10: log 60 = ln 60 / ln 10 ≈ 1.7782.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.