simplify ln(2(4))

Solution

simplify

ln (2 (4))

3 ln (2)

Decimal Notation

2.07944 \dots

Solution steps

ln (2 (4))

Apply log rule:

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

ln (2 (4)) = ln (2) + ln (4)

= ln (2) + ln (4)

ln (4) = 2 ln (2)

= ln (2) + 2 ln (2)

Add similar elements:

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

= 3 ln (2)

lo g_{10} (\frac{3 x}{8})

ln (\frac{( x ^{p} e ^{- y} )}{z})

lo g_{10}^{2} (8) - lo g_{10}^{2} (125)

ln (x + 9) + ln (x - 9)

lo g_{4} (\frac{3 a ^{7} c}{5})