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Beliebt Algebra >

4^{3x-2}=7^{x+3}

Lösung

4^{3 x - 2} = 7^{x + 3}

Lösung

x = \frac{ln ( 5488 )}{6 ln ( 2 ) - ln ( 7 )}

+1

Dezimale

x = 3.89083 \dots

Schritte zur Lösung

4^{3 x - 2} = 7^{x + 3}

Wende Exponentenregel an

(3 x - 2) ln (4) = (x + 3) ln (7)

Löse

(3 x - 2) ln (4) = (x + 3) ln (7) : x = \frac{ln ( 5488 )}{6 ln ( 2 ) - ln ( 7 )}

x = \frac{ln ( 5488 )}{6 ln ( 2 ) - ln ( 7 )}

Graph

Beliebte Beispiele

3^{2 x + 1} = 243

solvefor x,93=23^x

so l v e f or x, 93 = 2 3^{x}

2.1(1.05)^{-2x}=5.73

2.1 (1.05)^{- 2 x} = 5.73

solvefor x,e^x-4y^2=c

so l v e f or x, e^{x} - 4 y^{2} = c

2^x-10(2^{-x})+3=0

2^{x} - 10 (2^{- x}) + 3 = 0