Solving Logarithmic Inequalities

00:00 4 marks

  • Build Confidence
  • SL & HL
  • Tier 3
  • Logarithmic functions
  • Domain of logarithmic functions
  • Inequality solving

Solve the inequality \(\log_2(x-1) > 3\). State the domain of the logarithmic function and ensure your solution is consistent with it.

Hint Hint

Hint

Convert the logarithmic inequality to an exponential inequality. Remember to consider the domain of \(\log_b(a)\) which requires \(a > 0\).

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Complete Answer

\(x > 9\)

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