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Beliebt Algebra >

81^{x+1}+3^{4x}=243

Lösung

8 1^{x + 1} + 3^{4 x} = 243

Lösung

x = \frac{ln ( \frac{243}{82} )}{4 ln ( 3 )}

+1

Dezimale

x = 0.24720 \dots

Schritte zur Lösung

8 1^{x + 1} + 3^{4 x} = 243

Wende Exponentenregel an

4 x ln (3) = ln (\frac{243}{82})

Löse

4 x ln (3) = ln (\frac{243}{82}) : x = \frac{ln ( \frac{243}{82} )}{4 ln ( 3 )}

x = \frac{ln ( \frac{243}{82} )}{4 ln ( 3 )}

Graph

Beliebte Beispiele

1 3^{9} x = 1 1^{x + 5}

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

9^{\frac{x - 1}{2}} = (3^{x})^{2}

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

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

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