5^{x-1}=3

Lösung

5^{x - 1} = 3

x = \frac{ln ( 3 )}{ln ( 5 )} + 1

Dezimale

x = 1.68260 \dots

Schritte zur Lösung

5^{x - 1} = 3

Wende Exponentenregel an

(x - 1) ln (5) = ln (3)

Löse

(x - 1) ln (5) = ln (3) : x = \frac{ln ( 3 )}{ln ( 5 )} + 1

x = \frac{ln ( 3 )}{ln ( 5 )} + 1

so l v e f or x, x y = e^{2 x + y}

6 4^{x - 1} = 1 6^{2 x - 2}

5 (5^{2 x}) - 26 (5^{x}) + 5 = 0

\frac{13}{2 + e ^{x}} = 4

6^{x} - 28 = - 8