simplify ln((3x)/7)

Solution

simplify

ln (\frac{3 x}{7})

ln (3) + ln (x) - ln (7)

Solution steps

ln (\frac{3 x}{7})

Apply log rule:

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

ln (\frac{3 x}{7}) = ln (3 x) - ln (7)

= ln (3 x) - ln (7)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x)

= ln (3) + ln (x) - ln (7)

ln (2 (3)^{x})

ln (\frac{1}{\frac{x c d}{d x}})

3.74 + lo g_{10} (\frac{1}{1.5})

- 6 ln ∣ x - 6 ∣ - 7 ln ∣ x + 2 ∣ - 3 ln ∣ x + 7 ∣ + C