Log of 26 (Base 10)

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What is log 26?

Answer

log 26 ≈
1.4150

log here is the common log, base 10.

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

log 26 is the power you raise 10 to, to get 26: 10y = 26.

10¹ = 10 < 26 < 100 = 10², so 1 < log 26 < 2

log 26 = ln 26 / ln 10 ≈ 3.258097 / 2.302585 ≈ 1.4150

Oxy

Answer point ≈ (26, 1.4150).

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 26 in different bases
BaseNotationValue
eln 26≈ 3.2581
10log 26≈ 1.4150
2log₂ 26≈ 4.7004

See Also

FAQ

What is log 26?

log 26 ≈ 1.4150

What is the difference between log 26 and ln 26?

ln 26 is the logarithm to base e, log 26 is to base 10: ln 26 ≈ 3.2581, log 26 ≈ 1.4150. One is the other divided by ln 10: log 26 = ln 26 / ln 10 ≈ 1.4150.

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.