3^{2+x}=172

Lösung

3^{2 + x} = 172

x = \frac{ln ( 172 )}{ln ( 3 )} - 2

Dezimale

x = 2.68545 \dots

Schritte zur Lösung

3^{2 + x} = 172

Wende Exponentenregel an

(2 + x) ln (3) = ln (172)

Löse

(2 + x) ln (3) = ln (172) : x = \frac{ln ( 172 )}{ln ( 3 )} - 2

x = \frac{ln ( 172 )}{ln ( 3 )} - 2