2^n=10^6

Lösung

2^{n} = 1 0^{6}

n = \frac{6 ln ( 10 )}{ln ( 2 )}

Dezimale

n = 19.93156 \dots

Schritte zur Lösung

2^{n} = 1 0^{6}

Wende Exponentenregel an

n ln (2) = 6 ln (10)

Löse

n ln (2) = 6 ln (10) : n = \frac{6 ln ( 10 )}{ln ( 2 )}

n = \frac{6 ln ( 10 )}{ln ( 2 )}

5^{x - 1} = 2^{x}

2^{x} = 2048

3^{x + 2} = 5^{x - 1}

x^{3} = 3^{x}

e^{l n (x)} = 4