5^{2x+3}=8

Lösung

5^{2 x + 3} = 8

x = \frac{3 ln ( 2 ) - 3 ln ( 5 )}{2 ln ( 5 )}

Dezimale

x = - 0.85398 \dots

Schritte zur Lösung

5^{2 x + 3} = 8

Wende Exponentenregel an

(2 x + 3) ln (5) = ln (8)

Löse

(2 x + 3) ln (5) = ln (8) : x = \frac{3 ln ( 2 ) - 3 ln ( 5 )}{2 ln ( 5 )}

x = \frac{3 ln ( 2 ) - 3 ln ( 5 )}{2 ln ( 5 )}

5^{2 x + 3} = 1

7 e^{3 x} = 8 e^{5 x}

2^{x - 8} = 5

8^{x^{2} - 4} = 1

so l v e f or x, 2^{x - 9} = 9