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Beliebt Algebra >

5^{3x-1}=(1/25)^{2x+3}

Lösung

5^{3 x - 1} = (\frac{1}{25})^{2 x + 3}

Lösung

x = - \frac{5}{7}

+1

Dezimale

x = - 0.71428 \dots

Schritte zur Lösung

5^{3 x - 1} = (\frac{1}{25})^{2 x + 3}

Wende Exponentenregel an

3 x - 1 = - 2 (2 x + 3)

Löse

3 x - 1 = - 2 (2 x + 3) : x = - \frac{5}{7}

x = - \frac{5}{7}

Graph

Beliebte Beispiele

(\frac{1}{3})^{x} = 52

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

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

4^{(1-x)}=3^{(2x+3)}

4^{(1 - x)} = 3^{(2 x + 3)}

e^{e^{e^x}}=15.1546741867000…

e^{e^{e^{x}}} = 15.1546741867000 \dots

e^{x - 3} + 1 = 4 x - 3