vereinfachen ln(t)+(s^2)/(4t^2)+ln((s/t)^{1/2})

Lösung

vereinfachen

ln (t) + \frac{s ^{2}}{4 t ^{2}} + ln ((\frac{s}{t})^{\frac{1}{2}})

ln (t (\frac{s}{t})^{\frac{1}{2}}) + \frac{s ^{2}}{4 t ^{2}}

Schritte zur Lösung

ln (t) + \frac{s ^{2}}{4 t ^{2}} + ln ((\frac{s}{t})^{\frac{1}{2}})

Wende die log Regel an:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (t) + ln ((\frac{s}{t})^{\frac{1}{2}}) = ln ((\frac{s}{t})^{\frac{1}{2}} t)

= ln (t (\frac{s}{t})^{\frac{1}{2}}) + \frac{s ^{2}}{4 t ^{2}}

s im pl i f y 2 lo g_{10} (c) + 3 lo g_{10} (k)

s im pl i f y lo g_{3} (3 x + 4) - 7 lo g_{9} (x^{2}) + 6 lo g_{3} (x)

s im pl i f y ln (x^{5} \cdot 3 \frac{y ^{4} + 1}{w z ^{7}})

j o in \frac{3}{4} ln (3)

e x p an d lo g_{10} (2 y^{2})