solvefor a,x^5\sqrt[5]{x}=x^a

Lösung

löse nach

a, x^{5} 5 x = x^{a}

a = \frac{ln ( x ^{5} 5 x )}{ln ( x )}

Schritte zur Lösung

x^{5} 5 x = x^{a}

Wende Exponentenregel an

ln (x^{5} 5 x) = a ln (x)

Löse

ln (x^{5} 5 x) = a ln (x) : a = \frac{ln ( x ^{5} 5 x )}{ln ( x )}

a = \frac{ln ( x ^{5} 5 x )}{ln ( x )}

86 e^{x} = 57

x^{12} = e^{x}

9^{x - 1} = 3^{1 + x}

2^{x} = \frac{8 ^{x}}{e}

3^{a} = 5 3^{4}