4^{3x+2}=3^{5x-4}

Lösung

4^{3 x + 2} = 3^{5 x - 4}

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

Dezimale

x = 5.37187 \dots

Schritte zur Lösung

4^{3 x + 2} = 3^{5 x - 4}

Wende Exponentenregel an

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

Löse

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

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

5^{t} + 3 (5^{t - 1}) = 400

ln (1 + e^{- 3 x}) = 2

4^{x} = 15

7^{x - 10} + 7^{x - 9} + 7^{x - 8} = 57

3^{y^{2} - 3 y} = 81