4(3^x)=3(6^{3x-3})

Lösung

4 (3^{x}) = 3 (6^{3 x - 3})

x = \frac{ln ( 288 )}{ln ( 72 )}

Dezimale

x = 1.32415 \dots

Schritte zur Lösung

4 (3^{x}) = 3 (6^{3 x - 3})

Wende Exponentenregel an

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

Löse

ln (4) + x ln (3) = ln (3) + (3 x - 3) ln (6) : x = \frac{ln ( 288 )}{ln ( 72 )}

x = \frac{ln ( 288 )}{ln ( 72 )}

3^{3 x} = 7^{2 x + 1}

4^{x} = 8

2^{1 - x^{2}} = \frac{1}{8}

e^{2 x} - e^{x} - 6 = 0

4^{x + 1} + 2^{x + 3} = 320