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Beliebt Algebra >

2=(1+(0.065)/(12))^{12t}

Lösung

2 = (1 + \frac{0.065}{12})^{12 t}

Lösung

t = \frac{ln ( 2 )}{12 ln ( \frac{12.065}{12} )}

+1

Dezimale

t = 10.69265 \dots

Schritte zur Lösung

2 = (1 + \frac{0.065}{12})^{12 t}

Wende Exponentenregel an

ln (2) = 12 t ln (1 + \frac{0.065}{12})

Löse

ln (2) = 12 t ln (1 + \frac{0.065}{12}) : t = \frac{ln ( 2 )}{12 ln ( \frac{12.065}{12} )}

t = \frac{ln ( 2 )}{12 ln ( \frac{12.065}{12} )}

Graph

Beliebte Beispiele

1 0^{x} = 1500

solvefor n,a^n=sqrt(a)

so l v e f or n, a^{n} = a

x^x=10^{36*10^9}

x^{x} = 1 0^{36 \cdot 1 0^{9}}

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so l v e f or k, k^{2} t^{k} = 0

solvefor f,e^f=x

so l v e f or f, e^{f} = x