2^{x-1}=500000

Lösung

2^{x - 1} = 500000

x = \frac{ln ( 500000 )}{ln ( 2 )} + 1

Dezimale

x = 19.93156 \dots

Schritte zur Lösung

2^{x - 1} = 500000

Wende Exponentenregel an

(x - 1) ln (2) = ln (500000)

Löse

(x - 1) ln (2) = ln (500000) : x = \frac{ln ( 500000 )}{ln ( 2 )} + 1

x = \frac{ln ( 500000 )}{ln ( 2 )} + 1

4^{2 x + 1} = 16

(3^{3})^{x} = 27

1 0^{2 x - 1} = - 10

2^{2 x - 1} = 16

x^{- 3 + l o g_{3} (x)} = 81