simplify ln((2a)/b)

Solution

simplify

ln (\frac{2 a}{b})

ln (2) + ln (a) - ln (b)

Solution steps

ln (\frac{2 a}{b})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2 a}{b}) = ln (2 a) - ln (b)

= ln (2 a) - ln (b)

Apply log rule:

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

ln (2 a) = ln (2) + ln (a)

= ln (2) + ln (a) - ln (b)

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

ln (\frac{52}{62})

ln (2.1 \cdot e^{4})

6 ln (6) - 4 ln (4)

- lo g_{10} (7.01389 \cdot 1 0^{- 13})