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Archive for February, 2008

Logarithm Equation Question 1

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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}

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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.

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    Hi, I am Ai Ling ONG as known affectionately as alwaysLovely. I have been coaching hundreds of Singapore students in Mathematics for the last 10 years. I started singaporeolevelmaths.com in 2007 to help students to enjoy learning of Mathematics and scoring more marks in their examinations by providing useful strategy for understanding challenging concepts easily. I enjoy working with students who are taking their GCE O Level Exams. To contact me, you may email me ailing [at] singaporeolevelmaths.com Click HERE to read more about me.

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