13e^x=2*3^{-x}

Lösung

13 e^{x} = 2 \cdot 3^{- x}

x = \frac{ln ( 2 ) - ln ( 13 )}{1 + ln ( 3 )}

Dezimale

x = - 0.89192 \dots

Schritte zur Lösung

13 e^{x} = 2 \cdot 3^{- x}

Wende Exponentenregel an

ln (13) + x = ln (2) - x ln (3)

Löse

ln (13) + x = ln (2) - x ln (3) : x = \frac{ln ( 2 ) - ln ( 13 )}{1 + ln ( 3 )}

x = \frac{ln ( 2 ) - ln ( 13 )}{1 + ln ( 3 )}

1 0^{x} = 3

4^{y - 2} = \frac{1}{3 ^{- y}}

5 = 2^{x}

4^{2 x - 1} = 8^{x + 3}

3^{x + 2} = 7