simplify eln(ey)-e

Solution

simplify

e ln (ey) - e

e ln (y)

Solution steps

e ln (ey) - e

Apply log rule:

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

e ln (ey) = e ln (e) + e ln (y)

= e ln (e) + e ln (y) - e

e ln (e) = e

= e + e ln (y) - e

Group like terms

= e ln (y) + e - e

Add similar elements:

e - e = 0

= e ln (y)

- ln ∣ x + 2 ∣ + ln ∣ x ∣ + C

20 ln (\frac{21}{7})

\frac{1}{5} ln ((x^{2} - 25)^{5}) + ln (e) - ln (1) - ln (x + 5)

ln (R) - ln (\frac{1}{k})

4.7447 + lo g_{10} (\frac{0.5}{0.75})