5^{2x-6}=32

Lösung

5^{2 x - 6} = 32

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

Dezimale

x = 4.07669 \dots

Schritte zur Lösung

5^{2 x - 6} = 32

Wende Exponentenregel an

(2 x - 6) ln (5) = ln (32)

Löse

(2 x - 6) ln (5) = ln (32) : x = \frac{5 ln ( 2 ) + 6 ln ( 5 )}{2 ln ( 5 )}

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

(43)^{x} = 39

3 (5^{x - 1}) = 86

9^{4 x - 5} = 2 5^{6 x + 2}

4^{3 + x} = 7^{1 - x}

4^{3 - x} = 4