4^{2x-3}=6^4

Lösung

4^{2 x - 3} = 6^{4}

x = \frac{ln ( 288 )}{2 ln ( 2 )}

Dezimale

x = 4.08496 \dots

Schritte zur Lösung

4^{2 x - 3} = 6^{4}

Wende Exponentenregel an

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

Löse

(2 x - 3) ln (4) = 4 ln (6) : x = \frac{ln ( 288 )}{2 ln ( 2 )}

x = \frac{ln ( 288 )}{2 ln ( 2 )}

x 0.2 7^{4 - 4 x} = 3^{- 9 x}

5^{x} - 1 + 5^{x} - 2 = 30

2^{x} = 0.25

(3^{42} \cdot 9^{12})^{\frac{1}{3}} = 3^{k}

so l v e f or x, 2^{2 y + 4} = 1 6^{x}