10^{x^2+8x+1}=1

Lösung

1 0^{x^{2} + 8 x + 1} = 1

x = - 4 + 15, x = - 4 - 15

Dezimale

x = - 0.12701 \dots, x = - 7.87298 \dots

Schritte zur Lösung

1 0^{x^{2} + 8 x + 1} = 1

Wende Exponentenregel an

(x^{2} + 8 x + 1) ln (10) = ln (1)

Löse

(x^{2} + 8 x + 1) ln (10) = ln (1) : x = - 4 + 15, x = - 4 - 15

x = - 4 + 15, x = - 4 - 15

e^{2 x} - e^{x} - 2 = 0

3 2^{- 9 x + 9} = 16

4^{3 x + 2} = 32

3125 = 5^{- 10 + 3 x}

2^{x} + 2^{- x} = 10