vereinfachen ln((1^2)/(x^2))

Lösung

vereinfachen

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

- 2 ln (x)

Schritte zur Lösung

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

Wende die log Regel an:

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

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

= ln (1^{2}) - ln (x^{2})

Wende die log Regel an:

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

ln (1^{2}) = 2 ln (1)

= 2 ln (1) - ln (x^{2})

Wende die log Regel an:

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

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

= 2 ln (1) - 2 ln (x)

2 ln (1) = 0

= 0 - 2 ln (x)

0 - 2 ln (x) = - 2 ln (x)

= - 2 ln (x)

j o in \frac{1 3 ^{\frac{3 l n ( 2 )}{l n ( 13 )}} + 6}{9}

s im pl i f y 50 - \frac{20}{ln ( \frac{125}{123} )} \cdot ln (\frac{1968}{30})

s im pl i f y ln (3 n^{2} - 1) + ln (\frac{1}{n ^{2}})

s im pl i f y 4.76 + lo g_{10} (\frac{0.3}{0.2})

s im pl i f y 15 ln (5) - 24 ln (4) + 9 ln (3) - 2 ln (2)