simplify ln((4w)/7)

Solution

simplify

ln (\frac{4 w}{7})

2 ln (2) + ln (w) - ln (7)

Solution steps

ln (\frac{4 w}{7})

Apply log rule:

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

ln (\frac{4 w}{7}) = ln (4 w) - ln (7)

= ln (4 w) - ln (7)

Apply log rule:

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

ln (4 w) = ln (4) + ln (w)

= ln (4) + ln (w) - ln (7)

ln (4) = 2 ln (2)

= 2 ln (2) + ln (w) - ln (7)

ln (x) + ln (1 - x)

lo g_{10} (z) + lo g_{10} (11 y)

lo g_{4} (10 x)

lo g_{4} (12 x)