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

Lösung

e^{x + 8} = 8^{\frac{x}{2}}

x = \frac{16}{3 ln ( 2 ) - 2}

Dezimale

x = 201.40596 \dots

Schritte zur Lösung

e^{x + 8} = 8^{\frac{x}{2}}

Wende Exponentenregel an

x + 8 = \frac{x}{2} ln (8)

Löse

x + 8 = \frac{x}{2} ln (8) : x = \frac{16}{3 ln ( 2 ) - 2}

x = \frac{16}{3 ln ( 2 ) - 2}

3 6^{x - 3} + 10 = 16

1. 6^{x} = 15

e^{2 (x - 3)} + e^{- 2 (x - 3)} = 8

e^{7 x} = 8

4^{2 x - 1} = \frac{1}{32}