10^{x-3}=2^{10+x}

Lösung

1 0^{x - 3} = 2^{10 + x}

x = \frac{10 ln ( 2 ) + 3 ln ( 10 )}{ln ( 5 )}

Dezimale

x = 8.59879 \dots

Schritte zur Lösung

1 0^{x - 3} = 2^{10 + x}

Wende Exponentenregel an

(x - 3) ln (10) = (10 + x) ln (2)

Löse

(x - 3) ln (10) = (10 + x) ln (2) : x = \frac{10 ln ( 2 ) + 3 ln ( 10 )}{ln ( 5 )}

x = \frac{10 ln ( 2 ) + 3 ln ( 10 )}{ln ( 5 )}

6^{x + 3} = 36

3^{2 x} = 2 7^{4}

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

9^{x^{2} + 2} = 2 7^{2 x}

1.0 9^{x} = 2