6^{5x}=4^{(3-2x)}

Lösung

6^{5 x} = 4^{(3 - 2 x)}

x = \frac{6 ln ( 2 )}{5 ln ( 6 ) + 4 ln ( 2 )}

Dezimale

x = 0.35450 \dots

Schritte zur Lösung

6^{5 x} = 4^{(3 - 2 x)}

Wende Exponentenregel an

5 x ln (6) = (3 - 2 x) ln (4)

Löse

5 x ln (6) = (3 - 2 x) ln (4) : x = \frac{6 ln ( 2 )}{5 ln ( 6 ) + 4 ln ( 2 )}

x = \frac{6 ln ( 2 )}{5 ln ( 6 ) + 4 ln ( 2 )}

4^{x} + 4^{x + 1} = 40

x^{2} 3^{x} - 3^{x + 2} = 0

16 \cdot 2^{6 m} = 2^{3 m - 8}

2^{5 - 7 x} = 15

4^{x^{2} + 1} = 2^{5 x + 5}