7^{m+6}=8

Lösung

7^{m + 6} = 8

m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

Dezimale

m = - 4.93137 \dots

Schritte zur Lösung

7^{m + 6} = 8

Wende Exponentenregel an

(m + 6) ln (7) = ln (8)

Löse

(m + 6) ln (7) = ln (8) : m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

2 5^{x} = \frac{1}{125}

3^{2 x - 5} = 27

3^{x + 4} = 2^{x - 16}

so l v e f or t, 2 a^{\frac{t}{3}} = 5

5^{x + 5} = 1