8^{x-1}=125

Lösung

8^{x - 1} = 125

x = \frac{ln ( 5 )}{ln ( 2 )} + 1

Dezimale

x = 3.32192 \dots

Schritte zur Lösung

8^{x - 1} = 125

Wende Exponentenregel an

(x - 1) ln (8) = ln (125)

Löse

(x - 1) ln (8) = ln (125) : x = \frac{ln ( 5 )}{ln ( 2 )} + 1

x = \frac{ln ( 5 )}{ln ( 2 )} + 1

(\frac{1}{7})^{x} = \frac{1}{49}

51 = 4 e^{3 x}

69 = 2 5^{x}

2^{x} = e^{x l n (2)}

\frac{4}{( 2 ^{x} )} = 98