e^{4x}= 1/64

Lösung

e^{4 x} = \frac{1}{64}

x = - \frac{3 ln ( 2 )}{2}

Dezimale

x = - 1.03972 \dots

Schritte zur Lösung

e^{4 x} = \frac{1}{64}

Wende Exponentenregel an

4 x = ln (\frac{1}{64})

Löse

4 x = ln (\frac{1}{64}) : x = - \frac{3 ln ( 2 )}{2}

x = - \frac{3 ln ( 2 )}{2}

7^{- 3 x} = 1 1^{x + 8}

3^{x} = - 2 in

7^{- x} = 2

2^{3 y} - 2^{2 y} - 2^{y + 1} = 0

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