61=13^x

Lösung

61 = 1 3^{x}

x = \frac{ln ( 61 )}{ln ( 13 )}

Dezimale

x = 1.60271 \dots

Schritte zur Lösung

61 = 1 3^{x}

Wende Exponentenregel an

ln (61) = x ln (13)

Löse

ln (61) = x ln (13) : x = \frac{ln ( 61 )}{ln ( 13 )}

x = \frac{ln ( 61 )}{ln ( 13 )}

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

9^{x + 10} + 3 = 81

2. 3^{x - 2} = 162

6 e^{x + 3} - 4 = 20

(\frac{1}{2})^{4 x} = 16