7^{5x}=0.25

Lösung

7^{5 x} = 0.25

x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

Dezimale

x = - 0.14248 \dots

Schritte zur Lösung

7^{5 x} = 0.25

Wende Exponentenregel an

5 x ln (7) = ln (0.25)

Löse

5 x ln (7) = ln (0.25) : x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

3^{x - 2} = 4^{x + 1}

5^{3 - x} = 125

so l v e f or x, 2^{x + 4} = 2^{3 x - 1}

253428 = e^{x + 3} + 2

8^{x + 1} + 8^{x - 1} = 20