3^{5x-1}=4^{3x+6}

Lösung

3^{5 x - 1} = 4^{3 x + 6}

x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

Dezimale

x = 7.05781 \dots

Schritte zur Lösung

3^{5 x - 1} = 4^{3 x + 6}

Wende Exponentenregel an

(5 x - 1) ln (3) = (3 x + 6) ln (4)

Löse

(5 x - 1) ln (3) = (3 x + 6) ln (4) : x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

x = \frac{12 ln ( 2 ) + ln ( 3 )}{5 ln ( 3 ) - 6 ln ( 2 )}

(\frac{1}{16})^{x} = 64

9 \cdot 2 7^{2 x - 4} = 81

A (t) = 30 e^{(0.02) t}

so l v e f or n, x = x^{\frac{1}{n}}

8^{2 x - 1} = 15