1.01^n=2

Lösung

1.0 1^{n} = 2

n = \frac{ln ( 2 )}{ln ( 1.01 )}

Dezimale

n = 69.66071 \dots

Schritte zur Lösung

1.0 1^{n} = 2

Wende Exponentenregel an

n ln (1.01) = ln (2)

Löse

n ln (1.01) = ln (2) : n = \frac{ln ( 2 )}{ln ( 1.01 )}

n = \frac{ln ( 2 )}{ln ( 1.01 )}

ln (2^{3 x + 1}) = 5

e = 1 0^{x}

3^{x - 1} = 134

6 4^{x} - 8 = 0

3^{4 x + 1} = 9^{3 x - 5}