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Beliebt Algebra >

2^{2x+11}=3^{x-5}

Lösung

2^{2 x + 11} = 3^{x - 5}

Lösung

x = \frac{- 5 ln ( 3 ) - 11 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

+1

Dezimale

x = - 45.59783 \dots

Schritte zur Lösung

2^{2 x + 11} = 3^{x - 5}

Wende Exponentenregel an

(2 x + 11) ln (2) = (x - 5) ln (3)

Löse

(2 x + 11) ln (2) = (x - 5) ln (3) : x = \frac{- 5 ln ( 3 ) - 11 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

x = \frac{- 5 ln ( 3 ) - 11 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

Graph

Beliebte Beispiele

(\frac{2}{5})^{x} = \frac{4}{25}

(x-6)^{x^2-5}=(x-6)^{2x+3}

(x - 6)^{x^{2} - 5} = (x - 6)^{2 x + 3}

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2^{3 x} = 8^{2 x + 1}

3^{2x-3}=(27^{x+1})/2

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