simplify ln(Ae^2)

Solution

simplify

ln (A e^{2})

ln (A) + 2

Solution steps

ln (A e^{2})

Apply log rule:

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

ln (A e^{2}) = ln (A) + ln (e^{2})

= ln (A) + ln (e^{2})

Apply log rule:

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

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

= ln (A) + 2 ln (e)

2 ln (e) = 2

= ln (A) + 2

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

- ln (y + 1) + ln (y - 1)

ln (\frac{1}{0.043})

ln (2) - ln (3) + ln (5)

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