Logarithmic Function

Definition & Domain of ln x (D = ]0 ; +∞[) Graph of y = ln x & Sign Analysis Key Values: ln 1 = 0, ln e = 1 Algebraic Properties: Product, Quotient, Power Rules Equations & Inequalities with ln Derivatives: (ln x)' = 1/x and (ln u)' = u'/u Limits: ln 0⁺ = −∞, ln(+∞) = +∞, and special limits Removing Indeterminate Forms: L'Hôpital's Rule, Change of Form, Common Factor Step-by-step method to solve logarithmic equations & inequalities Important Remark: ln²x = (ln x)² ≠ ln x²