singaporeolevelmaths | Scoring A-Grade in Math & Life!

Feb/08

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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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2 Comments for Logarithm Equation Question 1

jiahui | February 25, 2008 at 7:26 pm

hey ailing.
thanks!

Reply

singaporeolevelmaths | Revisit: A-Math Logarithms Equations | November 15, 2008 at 3:59 pm

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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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