2^x=3e^{4x}

Lösung

2^{x} = 3 e^{4 x}

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

Dezimale

x = - 0.33222 \dots

Schritte zur Lösung

2^{x} = 3 e^{4 x}

Wende Exponentenregel an

x ln (2) = ln (3) + 4 x

Löse

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

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

1000 = 1 0^{x}

1 6^{x} = 32

π^{1 - x} = e^{8 x}

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

1000 = 850 (1.025)^{n}