5^x=3

Lösung

5^{x} = 3

x = \frac{ln ( 3 )}{ln ( 5 )}

Dezimale

x = 0.68260 \dots

Schritte zur Lösung

5^{x} = 3

Wende Exponentenregel an

x ln (5) = ln (3)

Löse

x ln (5) = ln (3) : x = \frac{ln ( 3 )}{ln ( 5 )}

x = \frac{ln ( 3 )}{ln ( 5 )}

2 5^{x - 1} = 5^{2 x - 1} - 100

6 4^{x - 2} = 25 6^{2 x}

5^{x} = 125

\frac{( \frac{2}{3} ) ^{x} \cdot 1}{( ( \frac{2}{3} ) ^{4} )} = 1

4^{x} = 2