5^x= 2/5

Lösung

5^{x} = \frac{2}{5}

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

Dezimale

x = - 0.56932 \dots

Schritte zur Lösung

5^{x} = \frac{2}{5}

Wende Exponentenregel an

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

Löse

x ln (5) = ln (\frac{2}{5}) : x = \frac{ln ( \frac{2}{5} )}{ln ( 5 )}

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

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

(\frac{1}{2})^{x} = 0.0625

5^{5 x + 2} = 45

5^{x + 1} = 1 0^{x}

2^{x + 2} = 8^{- x + 8}