simplify ln(4*2)

Solution

simplify

ln (4 \cdot 2)

3 ln (2)

Decimal Notation

2.07944 \dots

Solution steps

ln (4 \cdot 2)

Apply log rule:

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

ln (4 \cdot 2) = ln (4) + ln (2)

= ln (4) + ln (2)

ln (4) = 2 ln (2)

= 2 ln (2) + ln (2)

Add similar elements:

2 ln (2) + ln (2) = 3 ln (2)

= 3 ln (2)

ln (\frac{1000000}{465663})

- ln (\frac{5}{a ^{- 2}})

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

ln (x + 1) 2 + ln (y + 1) 3

ln (- 999) \frac{1}{1000}