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SL 1.5—Integer exponents and logarithms Topic Practice

SL 1.5—Integer exponents and logarithms Topic Practice
IB Maths AI syllabusMaths AI SL/HLFirst assessment 2025

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
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