Sunday, November 22, 2015
[S2_20151122IXBQ] A Bonus for your Index Fun?
This is a “bonus” question which most likely came from an Integrated Programme (IP) school. It really tests the wits of students’ knowledge of indices and problem solving tactics. I present two solutions without the use of logarithms. The first solution uses reciprocal indices and the matching of the base a/b. In the second solution, we match up the indices to xy.
Review of Important Laws of Indices
H04. Look for pattern(s)
H05. Work backwards
H09. Restate the problem in another way
H13* Use Equation / write a Mathematical Sentence
* challenge for Lower Secondary Mathematics (Secondary 2)
* GCE ‘O’ Level “Elementary” Mathematics (revision)
* other syllabuses that involve algebra and indices