simplify ln(u/(2R))

Solution

simplify

ln (\frac{u}{2 R})

ln (u) - ln (2) - ln (R)

Solution steps

ln (\frac{u}{2 R})

Apply log rule:

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

ln (\frac{u}{2 R}) = ln (u) - ln (2 R)

= ln (u) - ln (2 R)

Apply log rule:

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

ln (2 R) = ln (2) + ln (R)

= ln (u) - (ln (R) + ln (2))

- (ln (2) + ln (R)) : - ln (2) - ln (R)

= ln (u) - ln (2) - ln (R)

2 ln (\frac{p}{q}) + \frac{1}{2} ln (q^{2}) - ln (p^{3})

ln (\frac{x}{e ( x + 3 ) ^{2}})

15 + 50 \cdot ln (\frac{4}{4 - 0.4 \cdot 4})

ln (\frac{9}{5}) - 3

(0 - ln (2)) - (2 ln (2) - ln (3))