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Logarithms and exponentials in LaTeX

The natural logarithm is \ln, the common one \log, and the base is added as a subscript. A long exponent of e is easier to read when written with \exp and parentheses.

Logarithms

\ln e = 1, \quad \log_{2} 8 = 3
ln⁡e=1,log⁡28=3\ln e = 1, \quad \log_{2} 8 = 3

Radioactive decay

N(t) = N_0 \exp\left(-\frac{t \ln 2}{T_{1/2}}\right)
N(t)=N0exp⁡(−tln⁡2T1/2)N(t) = N_0 \exp\left(-\frac{t \ln 2}{T_{1/2}}\right)

Common mistakes

See also

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