Formula:KLS:14.21:26

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${\displaystyle{\displaystyle{\displaystyle q^{\alpha}=\frac{1}{a(q-1)}\quad\textrm{or}\quad\alpha=-\frac{\ln\left(q-1\right)a}{\ln q}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{ln}}}}$ : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2

Bibliography

Equation in Section 14.21 of KLS.

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