5^{2x}=13

Lösung

5^{2 x} = 13

x = \frac{ln ( 13 )}{2 ln ( 5 )}

Dezimale

x = 0.79684 \dots

Schritte zur Lösung

5^{2 x} = 13

Wende Exponentenregel an

2 x ln (5) = ln (13)

Löse

2 x ln (5) = ln (13) : x = \frac{ln ( 13 )}{2 ln ( 5 )}

x = \frac{ln ( 13 )}{2 ln ( 5 )}

0. 5^{x} = 4

2^{x} = 1 0^{6}

0. 5^{x} = 2

3 9^{4} = 3^{x}

3^{x} = 413