e^{0.5x}=3

Lösung

e^{0.5 x} = 3

x = \frac{ln ( 3 )}{0.5}

Dezimale

x = 2.19722 \dots

Schritte zur Lösung

e^{0.5 x} = 3

Wende Exponentenregel an

0.5 x = ln (3)

Löse

0.5 x = ln (3) : x = \frac{ln ( 3 )}{0.5}

x = \frac{ln ( 3 )}{0.5}

7^{5 x + 4} = 56

2 5^{x + 1} = 5^{x - 3}

2^{n} = 4^{p} \cdot 8^{n}

e^{x} + 2 = 8 e^{- x}

1 2^{x - 2} = 2^{2 x - 4}