7^{5x+4}=56

Lösung

7^{5 x + 4} = 56

x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

Dezimale

x = - 0.38627 \dots

Schritte zur Lösung

7^{5 x + 4} = 56

Wende Exponentenregel an

(5 x + 4) ln (7) = ln (56)

Löse

(5 x + 4) ln (7) = ln (56) : x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

x = \frac{3 ln ( \frac{2}{7} )}{5 ln ( 7 )}

2 5^{x + 1} = 5^{x - 3}

2^{n} = 4^{p} \cdot 8^{n}

e^{x} + 2 = 8 e^{- x}

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

2 e^{2 y} = \frac{e ^{2 y}}{2}