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Beliebt Algebra >

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

Lösung

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

Lösung

x = \frac{ln ( 24 )}{2 ln ( 3 ) - ln ( 2 )}

+1

Dezimale

x = 2.11295 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

(2 x - 1) ln (3) = (x + 3) ln (2)

Löse

(2 x - 1) ln (3) = (x + 3) ln (2) : x = \frac{ln ( 24 )}{2 ln ( 3 ) - ln ( 2 )}

x = \frac{ln ( 24 )}{2 ln ( 3 ) - ln ( 2 )}

Graph

Beliebte Beispiele

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

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

9^{x+1}-28× 3^x+3=0

9^{x + 1} - 28 \times 3^{x} + 3 = 0

7776^{x-1}=216^{2x-4}

777 6^{x - 1} = 21 6^{2 x - 4}

2^{x - 1} = \frac{17}{2}

4(3e^{-x}x^2-e^{-x}x^3)=0

4 (3 e^{- x} x^{2} - e^{- x} x^{3}) = 0