4^{x-4}=3^{2x-8}

Lösung

4^{x - 4} = 3^{2 x - 8}

x = - \frac{8 ln ( 3 ) - 8 ln ( 2 )}{2 ( ln ( 2 ) - ln ( 3 ) )}

Dezimale

x = 4

Schritte zur Lösung

4^{x - 4} = 3^{2 x - 8}

Wende Exponentenregel an

(x - 4) ln (4) = (2 x - 8) ln (3)

Löse

(x - 4) ln (4) = (2 x - 8) ln (3) : x = - \frac{8 ln ( 3 ) - 8 ln ( 2 )}{2 ( ln ( 2 ) - ln ( 3 ) )}

x = - \frac{8 ln ( 3 ) - 8 ln ( 2 )}{2 ( ln ( 2 ) - ln ( 3 ) )}

2^{a} = 3

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

5^{n} \cdot (\frac{1}{5})^{3} = 125

4^{l o g_{2} (2 x)} = 36

k^{x + 1} \cdot k^{x - 1} = k^{10}