Logarithmus/Basis/Über Quotient/Definition

Logarithmus zu einer Basis

Zu einer positiven reellen Zahl ${}b>0$ , ${}b\neq 1$ , wird der Logarithmus zur Basis ${}b$ von ${}x\in \mathbb {R} _{+}$ durch

{}\log _{b}x:={\frac {\ln x}{\ln b}}\,

definiert.

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