4(2^t)=10

Lösung

4 (2^{t}) = 10

t = \frac{ln ( \frac{5}{2} )}{ln ( 2 )}

Dezimale

t = 1.32192 \dots

Schritte zur Lösung

4 (2^{t}) = 10

Teile beide Seiten durch

4

2^{t} = \frac{5}{2}

Wende Exponentenregel an

t ln (2) = ln (\frac{5}{2})

Löse

t ln (2) = ln (\frac{5}{2}) : t = \frac{ln ( \frac{5}{2} )}{ln ( 2 )}

t = \frac{ln ( \frac{5}{2} )}{ln ( 2 )}

e^{y} = 4

2^{4 x - 2} = 8^{x + 1}

4^{x} = \frac{1}{256}

3^{x^{2} + 3 x} = 3^{x + 8}

60 = 5 e^{2 t}