5^{6x+5}=2

Lösung

5^{6 x + 5} = 2

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{6 ln ( 5 )}

Dezimale

x = - 0.76155 \dots

Schritte zur Lösung

5^{6 x + 5} = 2

Wende Exponentenregel an

(6 x + 5) ln (5) = ln (2)

Löse

(6 x + 5) ln (5) = ln (2) : x = \frac{ln ( 2 ) - 5 ln ( 5 )}{6 ln ( 5 )}

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{6 ln ( 5 )}

2200 = 1000 (1 + k)^{n}

1 0^{13} = 2^{n}

2 \cdot 3^{2 x} - 5 \cdot 3^{x} + 2 = 0

2 e^{x} + 6 e^{- x} = 7

x^{x} = 64