If you're new here, you may want to download my Secrets to be a Squaring Expert - over hundreds of people have enjoyed and benefitted :) for more upcoming Maths Tips & Strategies. Thanks for visiting!

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.

Previous in series Next in series

More Posts OnLogarithm

  1. Logarithm Equation Question 2
  2. Logarithm Equation Question 1
  3. Top 7 Commonly Made Mistakes in Logarithm
  4. Logarithm Equation Question 3

Popularity: 69%

If you enjoyed this post, make sure you subscribe to my RSS feed for updates of more information!