2^{5x-3}=10

Lösung

2^{5 x - 3} = 10

x = \frac{ln ( 80 )}{5 ln ( 2 )}

Dezimale

x = 1.26438 \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 ( 80 )}{5 ln ( 2 )}

x = \frac{ln ( 80 )}{5 ln ( 2 )}

\frac{e ^{x} - 2}{3} = e^{2 x} - 4

1 6^{x} = \frac{1}{64}

240 = 200 e^{x \cdot \frac{6}{12}}

(4^{x}) (4^{5}) = 4^{8}

2 5^{- x} = 5^{x + 7}