10^{4/x}=6

Lösung

1 0^{\frac{4}{x}} = 6

x = \frac{4 ln ( 10 )}{ln ( 6 )}

Dezimale

x = 5.14038 \dots

Schritte zur Lösung

1 0^{\frac{4}{x}} = 6

Wende Exponentenregel an

\frac{4}{x} ln (10) = ln (6)

Löse

\frac{4}{x} ln (10) = ln (6) : x = \frac{4 ln ( 10 )}{ln ( 6 )}

x = \frac{4 ln ( 10 )}{ln ( 6 )}

5^{x^{2} + 8} = 12 5^{2 x}

3^{2 x} = 9^{3 - x}

5^{x - 1} = 25

so l v e f or w, x^{72} + x^{w} = x^{8}

7^{x} = 8