I gave my Secondary 4 students 1 revision question per week. The recent one I marked was on the topic of Logarithms (the fresh-killer topic for many Secondary 3).

Did you spot the error? (It’s a give-away if you observe clearly)
Do this question and share your answer(s) in the comment section.
I look forward in hearing from you.
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UPDATE: Early Bird registration is extended to 6 Dec 09, 2359 hours (Singapore time)

Credit: Art Institute of Portland
Most Secondary two students would have received your streaming results, stating the subject combinations for Sec 3 for year 2010, haven’t you?
I hope you like the combination as you are going to eat, sleep and breathe those subjects.
For Secondary three students, I hope most if not all of you have been promoted to Sec 4. Pat yourself if you have done well. If you haven’t done well, what are you going to do this holiday?
Regardless if you are Sec three or ‘O’ level students next year, are you ready to rock & roll?
We are excited for 2010!
You don’t have to do everything during this holidays, you just need to do 1 – 2 right things while enjoying your break. I’m not even talking about doing your holiday assignments.
- If your concepts aren’t great, build them up by re-learning them!
- If you aren’t practicing enough, start working on sums, doing your five/ten years series!
- If you hate the subject or have no interest, use this holiday to decide if you are intending to continue or give up, find time sit down and read about the subject, get a friend to explain the annoying concepts to you
“The moment you say ‘I know everything’ is the end of your growth.”
If you like to experience learning with a difference, spend your holidays more meaningfully, enrich yourself in these ‘O’ level Math or Chemistry, we would like to extend the invitation to join us at our December Holiday Mastery Workshops & Essential Concepts Revision Programme!
Click here for more details.
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This is a common mistake I notice in my O level A-Math essential concepts revision workshop.
Solve the following equation:

First, you must identify the type of question since different types of question require different strategies.
It’s a different log-log question.
Strategy required: Change base.

Change base formula used.
Reason for changing to base 2: Between changing to base 2 or x, we choose base 2 as x is an unknown, we choose not to work with THE unknown most of the time, don’t we?

Since we observe that there is a common term (log2 x),

Did you observe the fatal mistake (It’s #7 Common mistake in Logarithm?

The correct way to do the substitution would be:



Solve the quadratic equation for y. Substitute the value back to find x.
Remember to check for validity of answers.
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In the previous post, I shared with you on the main Types of Logarithm Equations and How To Identify Them Easily.
Today, I’m going to share with you the step by step approach to solve Clone! type of Logarithm Equations.
Photo by Chris Gin
Clone Dolly
The strategy involving
- identifying the clone which is relatively easy since clones are items which look EXACTLY the same.
- Let the clone by y (Substitution method)


Substitution:

Common Mistake! (Canceling y from each side of the equation; So What? : you will miss out 1 answer)

Correct Approach (Shift everything to left hand side so that right hand side is 0; So What? :Ready for factorization since it is a quadratic equation)



Remember we are interested in the unknown in the question (x) NOT y!


Check validity of answers by substituting values of x into the original given equation. Both values are acceptable.
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