simplify ln(4kk)

Solution

simplify

ln (4 kk)

2 ln (2) + 2 ln (k)

Solution steps

ln (4 kk)

Apply log rule:

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

ln (4 kk) = ln (4) + ln (k) + ln (k)

= ln (4) + ln (k) + ln (k)

Add similar elements:

ln (k) + ln (k) = 2 ln (k)

= ln (4) + 2 ln (k)

ln (4) = 2 ln (2)

= 2 ln (2) + 2 ln (k)

e^{l n (l n (e^{3}))}

- lo g_{10} (0.16 \cdot 1 0^{- 11})

ln (\frac{600}{300})

ln (- \frac{5}{2} e^{2 t})

\frac{2}{3} ln (a) + 5 ln (2)