Mathematics - Functions - Logarithmic - Introduction to logarithms - Convert and Evaluate

12 problems: (1-4) Convert between forms: log₃(27)=? → 3^?=27 → 3. log₅(125)=?, log₂(1/4)=?, log₁₀(0.01)=?. (5-6) Convert exponential to log: 4³=64 → log₄(64)=3. (7-8) Evaluate: log(10000), ln(e⁵). (9-10) Solve for x: log₂(x)=5 → x=32. log₃(x)=4 → x=81. (11) 'If pH = -log[H⁺] and [H⁺]=0.001, find pH