3^{27^{x-2}}=9^{9^{x+1}}

Lösung

3^{2 7^{x - 2}} = 9^{9^{x + 1}}

x = \frac{ln ( 2 ) + 8 ln ( 3 )}{ln ( 3 )}

Dezimale

x = 8.63092 \dots

Schritte zur Lösung

3^{2 7^{x - 2}} = 9^{9^{x + 1}}

Wende Exponentenregel an

3 (x - 2) ln (3) = ln (2) + 2 (x + 1) ln (3)

Löse

3 (x - 2) ln (3) = ln (2) + 2 (x + 1) ln (3) : x = \frac{ln ( 2 ) + 8 ln ( 3 )}{ln ( 3 )}

x = \frac{ln ( 2 ) + 8 ln ( 3 )}{ln ( 3 )}

2 = (\frac{1}{4})^{x}

57 = 5 e^{0.02 \cdot x}

100 0^{x} = 0.1

so l v e f or x, z = e^{\frac{y}{x}}

x^{4 x} = 4