simplify ln(k*e^m)

Solution

simplify

ln (k \cdot e^{m})

ln (k) + m

Solution steps

ln (k e^{m})

Apply log rule:

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

ln (k e^{m}) = ln (k) + ln (e^{m})

= ln (k) + ln (e^{m})

Apply log rule:

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

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

= ln (k) + m ln (e)

m ln (e) = m

= ln (k) + m

ln (\frac{v}{20})

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

ln (x) - 4 ln (x^{2} + 1)

ln (3) - ln (\frac{7}{3})

ln (\frac{0.32}{12})