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SL 1.7—Rational exponents and logarithm laws Topic Practice

SL 1.7—Rational exponents and logarithm laws Topic Practice
IB Maths AA syllabusMaths AA SL/HLFirst assessment 2025

Practise using rational exponents and logarithm laws to rewrite, simplify and solve equations involving powers, bases and ln.

How this is tested

  • combine and rearrange log expressions, including quotient, power and change-of-base laws
  • solve logarithmic equations by rewriting to a single log and checking the domain x>0 where required
  • link exponential forms such as 1.105^t=e^(kt) to exact constants like k=ln(1.105)
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