e^{x+1}=10^x

Lösung

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

x = \frac{1}{ln ( 10 ) - 1}

Dezimale

x = 0.76770 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x + 1 = x ln (10)

Löse

x + 1 = x ln (10) : x = \frac{1}{ln ( 10 ) - 1}

x = \frac{1}{ln ( 10 ) - 1}

3 (2^{x}) = 4^{x + 1}

9^{2} = 3^{2 x + 1}

4^{x} = 18

e^{5 x} = 9

\frac{1}{27} = 3^{4 m - 1}