10^{4x-6}=9^{8x-9}

Lösung

1 0^{4 x - 6} = 9^{8 x - 9}

x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

Dezimale

x = 0.71222 \dots

Schritte zur Lösung

1 0^{4 x - 6} = 9^{8 x - 9}

Wende Exponentenregel an

(4 x - 6) ln (10) = (8 x - 9) ln (9)

Löse

(4 x - 6) ln (10) = (8 x - 9) ln (9) : x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

x = - \frac{18 ln ( 3 ) - 6 ln ( 10 )}{4 ( ln ( 10 ) - 4 ln ( 3 ) )}

7^{x - 2} = 1

5^{x} - 5^{5} - x = 150

so l v e f or x, 2^{x} \cdot 3^{y} = 12

6^{n + 7} = 67

3^{x - 3} = 1 7^{- 5 x}