3^{2x}=27^{x-1}

Lösung

3^{2 x} = 2 7^{x - 1}

x = 3

Schritte zur Lösung

3^{2 x} = 2 7^{x - 1}

Wende Exponentenregel an

2 x = 3 (x - 1)

Löse

2 x = 3 (x - 1) : x = 3

x = 3

e^{x + 2} = 6

3^{x} + 3^{- x + 1} - 4 = 0

so l v e f or x, 4 - (6^{5 - 3 x}) = - 5

2^{x - 5} = 1

2 (10)^{2 x - 3} = 12