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Archive for February 2008

Feb/08

25

Logarithm Equation Question 1

I met a student and she passed me this paper with this Lg question on it, asking me on the solution for solving this equation :\lg(x-2)=(lg3)^2

Coincidentally, I was asking a few O Level students of mine on which are the “Killer A-Maths Topics” for them. Logarithm, Indices, Surds is one of the common topic which is ranked high on their list.

Now back to the question.

PS:lg = log_{10}

Notice that right hand side of the equal sign is something you can compute using the calculator hence,

\lg(x-2)=(lg3)^2
(x-2)= 10^{(lg3)^2}

Use your calculator to find out the value of 10^{(lg3)^2} and the value is 1.69 ( round off to 3 significant figure) so the answer for this question is

x = 1.69 + 2<br>  =3.69<br>

I will be coming out with a series of posts on Logarithms since it is a “hot” topic for students :-) Subscribe to my feeds to be updated of this post.

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I have discussed about Quadratic Equations and Graphs previously in Features of Quadratic Equations and Graphs , Different representations of quadratic equations and their significance

This is really an important topic for students taking E-Math (elementary math) , more so for A-Math (additional math) as well.

Be sure that you know the basic of recognizing if a given equation is quadratic, how the quadratic equation looks like, the 5 main features of a quadratic graph, the different methods to solve a quadratic equation.

For students taking A-Math, you would definitely need to know more about the discriminant, sum or product of roots.

I would be elaborating more on methods to solve a quadratic equation and tips on discriminant so be sure you follow the blog by subscribing to the feed here.

Radioactive Happiness!
By netsrot

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Feb/08

21

Free McDonald For Singapore Students

I read about this content held by Student Blog Project.

Who says there is no free lunch? Now we have even Free McDonald :)

To find out how to be part of this Free McDonald, check out Student Blog Project.

I’m sorry this is only open to Full Time Students in Singapore who have a blog.

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Feb/08

20

Tips on Operations of Standard Forms

Operations of Standard Forms refer to + -×÷

+ -
Golden Rule #1: Change everything to the bigger powerGolden Rule #2: Factorise

Click on image for bigger view

×÷

Golden Rule #1: Group numbers together, Group bases together
Golden Rule #2: Apply Power Laws

Click on image for bigger view

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Feb/08

18

Converting Square Root to Fractional Indice

I was going through Indices with some of the students recently when I notice this common misconception.
\sqrt{a} is read as Square Root which means the “default” number outside the square root sign is 2 NOT 1 which a couple of students have thought about.

indiceslaw

I am going to write some tips on operations of standard form questions so I strongly suggest you subscribe to my feed if you have not done so,so that you will be posted when I write a new post .

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About Ai Ling

Hi, my name is Ai Ling Ong and I'm a professional Math Trainer specializing in GCE 'O' level Mathematics (Additional & Elementary). More than 10 years of teaching experience, I have coached hundreds of students more than 80 schools in Singapore. Read more about me here
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