3^x*5^x=3.375

Lösung

3^{x} \cdot 5^{x} = 3.375

x = \frac{ln ( 3.375 )}{ln ( 15 )}

Dezimale

x = 0.44917 \dots

Schritte zur Lösung

3^{x} \cdot 5^{x} = 3.375

Wende Exponentenregel an

x ln (15) = ln (3.375)

Löse

x ln (15) = ln (3.375) : x = \frac{ln ( 3.375 )}{ln ( 15 )}

x = \frac{ln ( 3.375 )}{ln ( 15 )}

1600 = 1 0^{x}

4^{3 x} = 8^{x + 1}

(2^{x^{2} - 2 x})^{4 - x} = 1

100 0^{x} = 10

x 64 = 4