3^{m+2}=4

Lösung

3^{m + 2} = 4

m = \frac{2 ln ( 2 )}{ln ( 3 )} - 2

Dezimale

m = - 0.73814 \dots

Schritte zur Lösung

3^{m + 2} = 4

Wende Exponentenregel an

(m + 2) ln (3) = ln (4)

Löse

(m + 2) ln (3) = ln (4) : m = \frac{2 ln ( 2 )}{ln ( 3 )} - 2

m = \frac{2 ln ( 2 )}{ln ( 3 )} - 2

2^{2 x - 2} - 3 \cdot 2^{x} + 8 = 0

e^{(x^{2} - 2 x)} = 1

6^{2 x - 2} = 4^{3 x - 9}

e^{3 x} = e^{6 x}

(n x)^{x} = n^{n^{n}}