2^{5x-1}=3^{2x}

Lösung

2^{5 x - 1} = 3^{2 x}

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

Dezimale

x = 0.54642 \dots

Schritte zur Lösung

2^{5 x - 1} = 3^{2 x}

Wende Exponentenregel an

(5 x - 1) ln (2) = 2 x ln (3)

Löse

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

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

1 0^{x} = 10000

9 (3^{x}) = 2 7^{x - 1}

5 2 5^{7} = 5^{p}

7^{x} = 6

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