2^n=1000000

Lösung

2^{n} = 1000000

n = \frac{6 ln ( 10 )}{ln ( 2 )}

Dezimale

n = 19.93156 \dots

Schritte zur Lösung

2^{n} = 1000000

Wende Exponentenregel an

n ln (2) = ln (1000000)

Löse

n ln (2) = ln (1000000) : n = \frac{6 ln ( 10 )}{ln ( 2 )}

n = \frac{6 ln ( 10 )}{ln ( 2 )}

2^{2 x} + 2^{- 2 x} = 23

9^{x} = 12 \cdot 3^{x} - 27

2^{x} = 2 x

2^{x} = 81

2^{x} = 29