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Beliebt Algebra >

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

Lösung

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

Lösung

x = \frac{ln ( \frac{3}{8} )}{ln ( 6 )}

+1

Dezimale

x = - 0.54741 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

(x - 1) ln (3) = (x + 3) ln (\frac{1}{2})

Löse

(x - 1) ln (3) = (x + 3) ln (\frac{1}{2}) : x = \frac{ln ( \frac{3}{8} )}{ln ( 6 )}

x = \frac{ln ( \frac{3}{8} )}{ln ( 6 )}

Graph

Beliebte Beispiele

(-32}{243}=(\frac{-2)/3)^{2n+1}

\frac{- 32}{243} = (\frac{- 2}{3})^{2 n + 1}

solvefor a,((x^{2a}))/((x^3))=x^3

so l v e f or a, \frac{( x ^{2 a} )}{( x ^{3} )} = x^{3}

2^{x} = \frac{1}{64}

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

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

5^t+3(5^{t-1})=400

5^{t} + 3 (5^{t - 1}) = 400