8=6^{x+4}

Lösung

8 = 6^{x + 4}

x = \frac{3 ln ( 2 )}{ln ( 6 )} - 4

Dezimale

x = - 2.83944 \dots

Schritte zur Lösung

8 = 6^{x + 4}

Wende Exponentenregel an

ln (8) = (x + 4) ln (6)

Löse

ln (8) = (x + 4) ln (6) : x = \frac{3 ln ( 2 )}{ln ( 6 )} - 4

x = \frac{3 ln ( 2 )}{ln ( 6 )} - 4

5^{2 x - 1} = 7^{x - 5}

(\frac{1}{5})^{x} = 5

6^{x} - 4 \cdot 3^{x} = 0

\frac{3 e ^{x}}{( 3 + e ^{x} ) ^{2}} = 0

3 2^{2 x - 3} = 2^{x + 3}