Answers:
(i)
Domain of f = R+
Value of logarithm to the base e (natural logarithm) can take all possible real values.
∴ The image set of f = R
(ii)
f(x) = –2
loge x = –2
∴ x = e-2 [logb a = c ⇒ a = bc]
∴ {x: f(x) = –2} = {e–2}
Answers:
(i)
Domain of f = R+
Value of logarithm to the base e (natural logarithm) can take all possible real values.
∴ The image set of f = R
(ii)
f(x) = –2
loge x = –2
∴ x = e-2 [logb a = c ⇒ a = bc]
∴ {x: f(x) = –2} = {e–2}