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

Lösung

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

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

Dezimale

x = 12.45652 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

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

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

5^{2 x - 13} = 25

\frac{2 e ^{x}}{4} = 9

e^{2 x + 3} = 1

2^{2 x - 5} = 0.5

16 = 8^{- x + 5}