An interesting question showing these 3 topics can be tested in a single question Question Express as i) Hence show that ii) Given that , prove that Techniques tested Rationalization Indices: Power Law: Answer Technique used: Rationalization i) Techniques used: Indices : Power Law : From LHS ii) This part of the question requires us to use the Substitution technique Using the quadratic formula, Recall that therefore Technique used: Taking log on both sides Recall that in part (i) we showed that Interesting question, dont you think ? For more interesting questions subscribe to my blog by entering your email address at the top right hand corner Have an interesting question to share? send me an email at yapye at (@) yahoo dot com dot sg For a revision of surds, click here For a revision of logarithms, click here For a revision of indices, click here