IB Maths AI SL 1.5 Integer exponents & logarithms
IB Maths AI SL 1.5 Integer exponents & logarithms
Students practise solving real-world problems involving logarithmic scales—pH, decibel intensity—and applying integer exponent and log laws algebraically.
How this is tested
- rewrite the pH formula to find hydrogen ion concentration, then evaluate
- compare acid strengths by computing ratio of 10⁻ᵖᴴ values for two substances, e.g., 10⁻² ÷ 10⁻⁴·⁵
- simplify expressions like log(x²−4) − log(x²) using log(a) − log(b) = log(a/b), then factorise numerator