10000=2^t

Lösung

10000 = 2^{t}

t = \frac{4 ln ( 10 )}{ln ( 2 )}

Dezimale

t = 13.28771 \dots

Schritte zur Lösung

10000 = 2^{t}

Wende Exponentenregel an

ln (10000) = t ln (2)

Löse

ln (10000) = t ln (2) : t = \frac{4 ln ( 10 )}{ln ( 2 )}

t = \frac{4 ln ( 10 )}{ln ( 2 )}

2500 = 2000 (1.04)^{t}

so l v e f or x, 30 = 1 0^{x}

5 e^{6 k} = 44

(\frac{1}{4})^{x} = 8^{x + 1}

5 e^{2 x} = 3