Exponentialfunktion Logarithmus Exponentialgleichung lösen Verständlich erklärt

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Es wird verständlich erklärt, wie man Exponentialfunktionen mit dem Logarithmus löst. Der Funktionsterm einer Exponentialfunktion steht also auf der einen Seite der Gleichung und auf der anderen Seite steht eine normale Zahl. Um eine solche Exponentialfunktion bzw. Exponentialgleichung zu lösen, benötigt man den Logarithmus. Die Exponentialgleichung muss zunächst so umgeformt werden, dass die Potenz mit der Variable im Exponenten alleine auf einer Seite steht. Auf der anderen Seite muss dann eine bereits zusammengefasste Zahl (ohne Variable) stehen. Nun kann man den Logarithmus anwenden. Am zweckmäßigsten ist es, für die Basis des Logarithmus die Zahl zu wählen, die in der Exponentialgleichung unter der Variable als Basis steht. Dies führt nämlich dazu, dass in der Exponentialgleichung die Basis unter der Variable wegfällt und auf der entsprechenden Seite der Gleichung dann nur noch der Exponent steht. Auf der anderen Seite der Exponentialgleichung wendet man den Logarithmus dann entsprechend an und erhält so die Lösung für die Variable. Ich zeige euch das Vorgehen Schritt für Schritt anhand von einer 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