10^{x+5}=125

Lösung

1 0^{x + 5} = 125

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

Dezimale

x = - 2.90308 \dots

Schritte zur Lösung

1 0^{x + 5} = 125

Wende Exponentenregel an

(x + 5) ln (10) = ln (125)

Löse

(x + 5) ln (10) = ln (125) : x = \frac{3 ln ( 5 )}{ln ( 10 )} - 5

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

x = 3^{x}

25 6^{2 x - 3} = 1

so l v e f or b, (x a)^{b} = x^{b} a^{b}

e^{l n (2 x)} = 16

3^{6 x - 3} = 81