vereinfachen 2ln(2)-2ln(5)

Lösung

vereinfachen

2 ln (2) - 2 ln (5)

ln (\frac{4}{25})

Dezimale

- 1.83258 \dots

Schritte zur Lösung

2 ln (2) - 2 ln (5)

Wende die log Regel an:

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

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

= ln (2^{2}) - 2 ln (5)

Wende die log Regel an:

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

2 ln (5) = ln (5^{2})

= ln (2^{2}) - ln (5^{2})

Wende die log Regel an:

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

ln (2^{2}) - ln (5^{2}) = ln (\frac{2 ^{2}}{5 ^{2}})

= ln (\frac{2 ^{2}}{5 ^{2}})

\frac{2 ^{2}}{5 ^{2}} = \frac{4}{25}

= ln (\frac{4}{25})

s im pl i f y ln (\frac{41}{66})

j o in \frac{8 1 ^{l n (x)}}{4 ln ( 3 )} + C

s im pl i f y 2 lo g_{a} (7 x^{3}) - \frac{1}{6} lo g_{a} (9 x + 5)

s im pl i f y ln (\frac{v ^{2}}{2 α e ^{- β s}})

e x p an d lo g_{10} (\frac{3 x}{y ^{3}})