vereinfachen ln(a+b)+ln(a-b)-2ln(c)

Lösung

vereinfachen

ln (a + b) + ln (a - b) - 2 ln (c)

ln (\frac{( a + b ) ( a - b )}{c ^{2}})

Schritte zur Lösung

ln (a + b) + ln (a - b) - 2 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)) - 2 ln (c)

Wende die log Regel an:

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

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

= ln ((a + b) (a - b)) - ln (c^{2})

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^{2}) = ln (\frac{( a + b ) ( a - b )}{c ^{2}})

= ln (\frac{( a + b ) ( a - b )}{c ^{2}})

s im pl i f y 18 (\frac{π}{180})

(2 x - 7)^{4} (x - 1)^{3} (x + 1) \leq 0

3 = \frac{n}{6}

f a c t or x^{- \frac{7}{2}} + 2 x^{- \frac{5}{2}} + x^{- \frac{3}{2}}

f a c t or 15 a x + 3 a y