2^{x/(15)}=10

Lösung

2^{\frac{x}{15}} = 10

x = \frac{15 ln ( 10 )}{ln ( 2 )}

Dezimale

x = 49.82892 \dots

Schritte zur Lösung

2^{\frac{x}{15}} = 10

Wende Exponentenregel an

\frac{x}{15} ln (2) = ln (10)

Löse

\frac{x}{15} ln (2) = ln (10) : x = \frac{15 ln ( 10 )}{ln ( 2 )}

x = \frac{15 ln ( 10 )}{ln ( 2 )}

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

2500 = 5000 e^{100 x}

3^{2 x} = 2

3^{3 x - 7} = \frac{1}{81}

3 6^{2 x + 5} = 6^{3 x + 1}