simplify ln((3x)/5)

Solution

simplify

ln (\frac{3 x}{5})

ln (3) + ln (x) - ln (5)

Solution steps

ln (\frac{3 x}{5})

Apply log rule:

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

ln (\frac{3 x}{5}) = ln (3 x) - ln (5)

= ln (3 x) - ln (5)

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 (5)

ln (508007 \cdot 1 0^{3})

ln (0.00182) - ln (0.0000475)

ln (\frac{1.67}{3})

ln (\frac{254.47}{0.785})

\frac{π}{4} ln (\frac{π}{4})