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Beliebt Algebra >

solvefor x,3^{4x-5}=2^{x+3}

Lösung

löse nach

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

Lösung

x = \frac{ln ( 1944 )}{4 ln ( 3 ) - ln ( 2 )}

+1

Dezimale

x = 2.04590 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

(4 x - 5) ln (3) = (x + 3) ln (2) : x = \frac{ln ( 1944 )}{4 ln ( 3 ) - ln ( 2 )}

x = \frac{ln ( 1944 )}{4 ln ( 3 ) - ln ( 2 )}

Graph

Beliebte Beispiele

5^{x+3}=(1/3)^{3-x}

5^{x + 3} = (\frac{1}{3})^{3 - x}

(1/25)^{2x+3}=125^{9x+8}

(\frac{1}{25})^{2 x + 3} = 12 5^{9 x + 8}

5^{t} = 1637

16^{2x+1}=4^{3x+3}

1 6^{2 x + 1} = 4^{3 x + 3}

solvefor y,e^{x+y}=0

so l v e f or y, e^{x + y} = 0