3^{(x+2)}=7

Lösung

3^{(x + 2)} = 7

x = \frac{ln ( 7 )}{ln ( 3 )} - 2

Dezimale

x = - 0.22875 \dots

Schritte zur Lösung

3^{(x + 2)} = 7

Wende Exponentenregel an

(x + 2) ln (3) = ln (7)

Löse

(x + 2) ln (3) = ln (7) : x = \frac{ln ( 7 )}{ln ( 3 )} - 2

x = \frac{ln ( 7 )}{ln ( 3 )} - 2

2^{3 x + 1} = 2^{3}

7^{x + 2} = 410

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

1536 = 3 (2)^{n - 1}

3^{- 5 x} = 81