vereinfachen 20log_{10}((4.2)/(2sqrt(2)))

Lösung

vereinfachen

20 lo g_{10} (\frac{4.2}{2 2})

20 (lo g_{10} (4.2) - \frac{3}{2} lo g_{10} (2))

Dezimale

3.43408 \dots

Schritte zur Lösung

20 lo g_{10} (\frac{4.2}{2 2})

Wende die log Regel an:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{4.2}{2 2}) = lo g_{10} (4.2) - lo g_{10} (22)

= 20 (lo g_{10} (4.2) - lo g_{10} (22))

lo g_{10} (22) = \frac{3}{2} lo g_{10} (2)

= 20 (lo g_{10} (4.2) - \frac{3}{2} lo g_{10} (2))

d o main f (x) = ln (5) + ln (7) - 3 ln^{2} (x)

s im pl i f y \frac{1}{2} ln (50) + \frac{1}{2} ln (1 - \frac{1}{2})

s im pl i f y ln (\frac{n + 2}{n + 1})

s im pl i f y (4 ln (x - 6) + ln (x^{2} + 6) - 7 ln (x + 3))^{\frac{1}{5}}

s im pl i f y 200 - 160 (2 ln (3) - 2 ln (2))