e^{2x-3}=75

Lösung

e^{2 x - 3} = 75

x = \frac{ln ( 75 ) + 3}{2}

Dezimale

x = 3.65874 \dots

Schritte zur Lösung

e^{2 x - 3} = 75

Wende Exponentenregel an

2 x - 3 = ln (75)

Löse

2 x - 3 = ln (75) : x = \frac{ln ( 75 ) + 3}{2}

x = \frac{ln ( 75 ) + 3}{2}

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

3 \cdot 2^{x + 2} - 5 \cdot 2^{x} = 56

e^{x + 1} = 3

2 \cdot 1 0^{9 a} = 29

\frac{8 ^{m + 3}}{2 ^{2}} = 2^{4 m}