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Beliebt Algebra >

3^{4x+3}=8^{-x+2}

Lösung

3^{4 x + 3} = 8^{- x + 2}

Lösung

x = \frac{6 ln ( 2 ) - 3 ln ( 3 )}{ln ( 648 )}

+1

Dezimale

x = 0.13331 \dots

Schritte zur Lösung

3^{4 x + 3} = 8^{- x + 2}

Wende Exponentenregel an

(4 x + 3) ln (3) = (- x + 2) ln (8)

Löse

(4 x + 3) ln (3) = (- x + 2) ln (8) : x = \frac{6 ln ( 2 ) - 3 ln ( 3 )}{ln ( 648 )}

x = \frac{6 ln ( 2 ) - 3 ln ( 3 )}{ln ( 648 )}

Graph

Beliebte Beispiele

12(2)^x=15(4)^2x-3

12 (2)^{x} = 15 (4)^{2} x - 3

4^{x + 3} = 7

(64^{x^2-2x})(16^{x-5})=1

(6 4^{x^{2} - 2 x}) (1 6^{x - 5}) = 1

(x + 2) e^{x} = 1

solvefor t,a(t)=a_{0}*e^{-0.025t}

so l v e f or t, a (t) = a_{0} \cdot e^{- 0.025 t}