5^{x^2}=2^{5x}

Lösung

5^{x^{2}} = 2^{5 x}

x = 0, x = \frac{5 ln ( 2 )}{ln ( 5 )}

Dezimale

x = 0, x = 2.15338 \dots

Schritte zur Lösung

5^{x^{2}} = 2^{5 x}

Wende Exponentenregel an

x^{2} ln (5) = 5 x ln (2)

Löse

x^{2} ln (5) = 5 x ln (2) : x = 0, x = \frac{5 ln ( 2 )}{ln ( 5 )}

x = 0, x = \frac{5 ln ( 2 )}{ln ( 5 )}

4^{x} + 5 = 21

7^{x + 2} = 343

7^{p} = 3

18 = 4 + 21 e^{20 x}

so l v e f or x, e^{x} = 2