e^{-0.25*x}=0.5

Lösung

e^{- 0.25 \cdot x} = 0.5

x = - \frac{ln ( 0.5 )}{0.25}

Dezimale

x = 2.77258 \dots

Schritte zur Lösung

e^{- 0.25 x} = 0.5

Wende Exponentenregel an

- 0.25 x = ln (0.5)

Löse

- 0.25 x = ln (0.5) : x = - \frac{ln ( 0.5 )}{0.25}

x = - \frac{ln ( 0.5 )}{0.25}

\frac{1}{5 ^{x}} = 25

3^{x} + 6^{x} = 1 2^{x}

(9^{x})^{2} = 9^{12} - 4 x

\frac{1}{3} = 0. 9^{n}

\frac{( 1 0 ^{x} - 13 \cdot 1 0 ^{- x} )}{3} = 4