15^{x-1}=1875

Lösung

1 5^{x - 1} = 1875

x = \frac{ln ( 1875 )}{ln ( 15 )} + 1

Dezimale

x = 3.78294 \dots

Schritte zur Lösung

1 5^{x - 1} = 1875

Wende Exponentenregel an

(x - 1) ln (15) = ln (1875)

Löse

(x - 1) ln (15) = ln (1875) : x = \frac{ln ( 1875 )}{ln ( 15 )} + 1

x = \frac{ln ( 1875 )}{ln ( 15 )} + 1

- e^{- x} + 100 = 130

8 = 2^{a}

2^{x - 2} = \frac{1}{4 ^{2 - x}}

2^{3 - 5 x} = 4^{x^{2}}

8^{x - 1} = \frac{1}{16}