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Symbols · Operators and calculus

log ln Logarithm

Say it: “log”, “the natural log of”, “log base 10 of”

What it means

The logarithm undoes a power: log base b of x is the power b must be raised to to give x. ln is the natural logarithm, base e. A plain log means base 10 in chemistry and engineering, base e in most mathematics and statistics, and base 2 in computer science.

Read aloud in real formulas

Chemistry

pH = −log₁₀[H⁺]

Aethel says

pH equals negative log base 10 of the concentration of H plus

the pH from the hydrogen-ion concentration

Algebra

ln(eˣ) = x

Aethel says

the natural log of the quantity e to the power of x, equals x

the natural log undoes e to the x

Typing it

LaTeX
\log, \ln, \log_{10}
Unicode
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Formulas that use it

Questions

How do you say log out loud?

It is usually read “log”, and also “the natural log of” or “log base 10 of”.

What does log mean in maths?

The logarithm undoes a power: log base b of x is the power b must be raised to to give x. ln is the natural logarithm, base e. A plain log means base 10 in chemistry and engineering, base e in most mathematics and statistics, and base 2 in computer science.

How do you type log?

In LaTeX, write \log, \ln, \log_{10}.

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