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Beliebt Algebra >

2^{2x-3}=4^{x^2-3x-1}

Lösung

2^{2 x - 3} = 4^{x^{2} - 3 x - 1}

Lösung

x = \frac{4 + 14}{2}, x = \frac{4 - 14}{2}

+1

Dezimale

x = 3.87082 \dots, x = 0.12917 \dots

Schritte zur Lösung

2^{2 x - 3} = 4^{x^{2} - 3 x - 1}

Wende Exponentenregel an

2 x - 3 = 2 (x^{2} - 3 x - 1)

Löse

2 x - 3 = 2 (x^{2} - 3 x - 1) : x = \frac{4 + 14}{2}, x = \frac{4 - 14}{2}

x = \frac{4 + 14}{2}, x = \frac{4 - 14}{2}

Graph

Beliebte Beispiele

2^{2x+1}-15(2^x)-8=0

2^{2 x + 1} - 15 (2^{x}) - 8 = 0

solvefor x,(2007)^x+(2007)^y=1

so l v e f or x, (2007)^{x} + (2007)^{y} = 1

n=((2^{n+4}-2^{n+3}))/((2^{n+4))}

n = \frac{( 2 ^{n + 4} - 2 ^{n + 3} )}{( 2 ^{n + 4} )}

(81^2)/((729^1)^{-x)}=(9^2)^x

\frac{8 1 ^{2}}{( 72 9 ^{1} ) ^{- x}} = (9^{2})^{x}

2^{x-4}=4.2^{x-6}

2^{x - 4} = 4. 2^{x - 6}