2^{x+3}=5^{6x}

Lösung

2^{x + 3} = 5^{6 x}

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

Dezimale

x = 0.23199 \dots

Schritte zur Lösung

2^{x + 3} = 5^{6 x}

Wende Exponentenregel an

(x + 3) ln (2) = 6 x ln (5)

Löse

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

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

312 5^{x + 5} = 2 5^{3 x + 4}

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

\frac{1}{6} = (\frac{1}{2})^{x}

3^{4 x - 4} = 81

8^{0.4 x} = 5