2^{5x+3}=10

Lösung

2^{5 x + 3} = 10

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

Dezimale

x = 0.06438 \dots

Schritte zur Lösung

2^{5 x + 3} = 10

Wende Exponentenregel an

(5 x + 3) ln (2) = ln (10)

Löse

(5 x + 3) ln (2) = ln (10) : x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

x = \frac{ln ( \frac{5}{4} )}{5 ln ( 2 )}

3^{x - 1} = 5

(b^{2 x - 5})^{4} = (b^{x + 5})^{3}

10 0^{x} = 10

9^{x} = 2 e^{x^{2}}

2^{x - 1} = 4