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Beliebt Algebra >

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

Lösung

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

Lösung

x = \frac{ln ( 864 )}{3 ln ( 2 ) - ln ( 3 )}

+1

Dezimale

x = 6.89373 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

(3 x - 5) ln (2) = (x + 3) ln (3) : x = \frac{ln ( 864 )}{3 ln ( 2 ) - ln ( 3 )}

x = \frac{ln ( 864 )}{3 ln ( 2 ) - ln ( 3 )}

Graph

Beliebte Beispiele

solvefor k,k(x)=x^6e^{5x}

so l v e f or k, k (x) = x^{6} e^{5 x}

(5 x)^{x} = 5^{5^{5}}

10^{log_{10}(x^2)}=4

1 0^{l o g_{10} (x^{2})} = 4

3^{x+4}=5^{x+2}

3^{x + 4} = 5^{x + 2}

\sqrt[x]{x}=sqrt(0.5)

x x = 0.5