vereinfachen ln(a+b)+ln(a-b)-4ln(c)

Lösung

vereinfachen

ln (a + b) + ln (a - b) - 4 ln (c)

ln (\frac{( a + b ) ( a - b )}{c ^{4}})

Schritte zur Lösung

ln (a + b) + ln (a - b) - 4 ln (c)

Wende die log Regel an:

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

ln (a + b) + ln (a - b) = ln ((a + b) (a - b))

= ln ((a + b) (a - b)) - 4 ln (c)

Wende die log Regel an:

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

4 ln (c) = ln (c^{4})

= ln ((a + b) (a - b)) - ln (c^{4})

Wende die log Regel an:

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

ln ((a + b) (a - b)) - ln (c^{4}) = ln (\frac{( a + b ) ( a - b )}{c ^{4}})

= ln (\frac{( a + b ) ( a - b )}{c ^{4}})

e x p an d lo g_{10} (\frac{5 y}{x ^{2}})

e x p an d ln (\frac{( 1 - p ) d}{6 2 + 5 r})

s im pl i f y 2 lo g_{10} (x) + lo g_{10} (y) - 3 lo g_{10} (z)

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

s im pl i f y lo g_{3} (x) - lo g_{3} (x^{2})