2^n=100

Lösung

2^{n} = 100

n = \frac{2 ln ( 10 )}{ln ( 2 )}

Dezimale

n = 6.64385 \dots

Schritte zur Lösung

2^{n} = 100

Wende Exponentenregel an

n ln (2) = ln (100)

Löse

n ln (2) = ln (100) : n = \frac{2 ln ( 10 )}{ln ( 2 )}

n = \frac{2 ln ( 10 )}{ln ( 2 )}

8 \cdot 2^{x + 1} = 2^{2 x}

\frac{1}{6 ^{x - 1}} = 216

5^{2 x} = 8

e^{2 x} - 13 e^{x} + 42 = 0

so l v e f or x, e^{2 x + 2 y + z} = 1