3^{x+2}=15

Lösung

3^{x + 2} = 15

x = \frac{ln ( 15 )}{ln ( 3 )} - 2

Dezimale

x = 0.46497 \dots

Schritte zur Lösung

3^{x + 2} = 15

Wende Exponentenregel an

(x + 2) ln (3) = ln (15)

Löse

(x + 2) ln (3) = ln (15) : x = \frac{ln ( 15 )}{ln ( 3 )} - 2

x = \frac{ln ( 15 )}{ln ( 3 )} - 2

x + e^{x} = 2

7^{3 x - 2} + 7^{2} = 50

5^{2 x - 4} = 2^{5 x}

5 e^{x + 2} = 7

2^{x - 1} + 2^{x - 2} + 2^{x - 3} = 112