1.13^x=2.97

Lösung

1.1 3^{x} = 2.97

x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

Dezimale

x = 8.90675 \dots

Schritte zur Lösung

1.1 3^{x} = 2.97

Wende Exponentenregel an

x ln (1.13) = ln (2.97)

Löse

x ln (1.13) = ln (2.97) : x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

x = \frac{ln ( 2.97 )}{ln ( 1.13 )}

8 \cdot 5^{3 - x} = 6

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

11 \cdot 2^{3 x} = 1

2^{8 p} = 2^{5 p + 15}

so l v e f or n, ln (x^{n} y^{n}) = c