2=(9/8)^t

Lösung

2 = (\frac{9}{8})^{t}

t = \frac{ln ( 2 )}{ln ( \frac{9}{8} )}

Dezimale

t = 5.88494 \dots

Schritte zur Lösung

2 = (\frac{9}{8})^{t}

Wende Exponentenregel an

ln (2) = t ln (\frac{9}{8})

Löse

ln (2) = t ln (\frac{9}{8}) : t = \frac{ln ( 2 )}{ln ( \frac{9}{8} )}

t = \frac{ln ( 2 )}{ln ( \frac{9}{8} )}

4^{x} - 4^{x - 1} = 48

(\frac{2}{3})^{x} \cdot (\frac{9}{8})^{x} = 2764

2 5^{x} = 0.2

(2 x^{2} - 1)^{5 x + 2} = (2 x^{2} - 1)^{x^{2} + 6}

9^{x + 2} = 2 7^{x}