vereinfachen ln(y/(2b^2))

Lösung

vereinfachen

ln (\frac{y}{2 b ^{2}})

ln (y) - ln (2) - 2 ln (b)

Schritte zur Lösung

ln (\frac{y}{2 b ^{2}})

Wende die log Regel an:

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

ln (\frac{y}{2 b ^{2}}) = ln (y) - ln (2 b^{2})

= ln (y) - ln (2 b^{2})

Wende die log Regel an:

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

ln (2 b^{2}) = ln (2) + ln (b^{2})

= ln (y) - (ln (b^{2}) + ln (2))

Wende die log Regel an:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (b^{2}) = 2 ln (b)

= ln (y) - (ln (2) + 2 ln (b))

- (ln (2) + 2 ln (b)) : - ln (2) - 2 ln (b)

= ln (y) - ln (2) - 2 ln (b)

s im pl i f y 2 [3 ln (x) - ln (x + 6) - ln (x - 6)]

e x p an d lo g_{10} (\frac{t}{11})

s im pl i f y ln (\frac{x}{10})

s im pl i f y ln (\frac{tan ( θ ) + sec ( θ )}{tan ( \frac{θ}{2} )})

e x p an d lo g_{4} (\frac{6 x ^{2}}{5 y ^{3}})