10^{x-1}=8*3^x

Lösung

1 0^{x - 1} = 8 \cdot 3^{x}

x = \frac{ln ( 80 )}{ln ( 10 ) - ln ( 3 )}

Dezimale

x = 3.63963 \dots

Schritte zur Lösung

1 0^{x - 1} = 8 \cdot 3^{x}

Wende Exponentenregel an

(x - 1) ln (10) = ln (8) + x ln (3)

Löse

(x - 1) ln (10) = ln (8) + x ln (3) : x = \frac{ln ( 80 )}{ln ( 10 ) - ln ( 3 )}

x = \frac{ln ( 80 )}{ln ( 10 ) - ln ( 3 )}

x = e^{1 - x}

800 = 60 (1.25)^{x}

21 6^{2 x - 3} = 3 6^{- x + 7}

2^{x} = 62.06896552

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