zusammenfügen 1/2 ln((y^2)/(x^2)+1)

Lösung

zusammenfügen

\frac{1}{2} ln (\frac{y ^{2}}{x ^{2}} + 1)

ln ((\frac{y ^{2} + x ^{2}}{x ^{2}})^{\frac{1}{2}})

Schritte zur Lösung

\frac{1}{2} ln (\frac{y ^{2}}{x ^{2}} + 1)

Wende die log Regel an:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{2} ln (\frac{y ^{2}}{x ^{2}} + 1) = ln ((\frac{y ^{2}}{x ^{2}} + 1)^{\frac{1}{2}})

= ln ((\frac{y ^{2}}{x ^{2}} + 1)^{\frac{1}{2}})

(\frac{y ^{2}}{x ^{2}} + 1)^{\frac{1}{2}} = (\frac{y ^{2} + x ^{2}}{x ^{2}})^{\frac{1}{2}}

= ln ((\frac{y ^{2} + x ^{2}}{x ^{2}})^{\frac{1}{2}})

s im pl i f y - lo g_{10} (3.4 \cdot 1 0^{- 5})

s im pl i f y ln (\frac{1 \cdot 1 0 ^{- 4}}{1 \cdot 1 0 ^{- 3}})

e x p an d lo g_{v} (b^{4}) (b^{9})

e x p an d lo g_{6} ((\frac{u}{v ^{6}})^{5})

s im pl i f y - ln (1 - x) + ln (1 - y)