2^{x+3}=8^{x-2}

Lösung

2^{x + 3} = 8^{x - 2}

x = \frac{9}{2}

Dezimale

x = 4.5

Schritte zur Lösung

2^{x + 3} = 8^{x - 2}

Wende Exponentenregel an

x + 3 = 3 (x - 2)

Löse

x + 3 = 3 (x - 2) : x = \frac{9}{2}

x = \frac{9}{2}

4^{- x} = 64

0 = 3^{x}

5^{x + 7} = 8

3^{x} = \frac{9 ^{4}}{2 7 ^{3}}

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