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

5^{x - 1} = 2^{2 x + 1}

3^{- 5} \cdot 3^{3} = 3^{k}

11 \cdot 1 0^{x - 3} - 1 0^{2 x - 4} = 0.1

5^{2 x} 3 = 75

1 0^{x} = 41000