100=2^x

Lösung

100 = 2^{x}

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

Dezimale

x = 6.64385 \dots

Schritte zur Lösung

100 = 2^{x}

Wende Exponentenregel an

ln (100) = x ln (2)

Löse

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

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

4^{2 x - 3} = 7^{x}

4^{2 x + 3} = 8^{x + 5}

8^{4 n - 2} = 4^{3 n + 3}

(x^{2} - 5) (e^{x} - 5) = 0

16 = 2^{x - 2}