x^{(log_{10}(x))+2}=10^{(log_{10}(x))+2}

Lösung

x^{(l o g_{10} (x)) + 2} = 1 0^{(l o g_{10} (x)) + 2}

x = 10, x = \frac{1}{100}

Dezimale

x = 10, x = 0.01

Schritte zur Lösung

x^{(l o g_{10} (x)) + 2} = 1 0^{(l o g_{10} (x)) + 2}

Wende Exponentenregel an

(lo g_{10} (x) + 2) ln (x) = (lo g_{10} (x) + 2) ln (10)

Löse

(lo g_{10} (x) + 2) ln (x) = (lo g_{10} (x) + 2) ln (10) : x = 10, x = \frac{1}{100}

x = 10, x = \frac{1}{100}

Überprüfe die Lösungen:

x = 10

Wahr

, x = \frac{1}{100}

Wahr

Die Lösungen sind

x = 10, x = \frac{1}{100}

(- 3)^{x} = 87

so l v e f or x, (2^{2})^{x} - (3^{2})^{y} = 55

(\frac{1}{2})^{a + 1} + (\frac{1}{2})^{a + 3} + (\frac{1}{2})^{a + 5} = 42

2^{x} \cdot 2^{1} - 6 = - 23 \cdot 2^{x} \cdot 2^{1}

19 2^{x} = 3.967