Monday, 25 March 2013

Sunday, 17 March 2013

A02 E question 15

(3x)^lg3=(4x)^lg4

(3^lg3)(x^lg3)=(4^lg4)(x^lg4)

(3^lg3)/(4^lg4)=(x^lg4)/(x^lg3)
                       =x^(lg4-lg3)

[(3^lg3)/4^lg4)]^(1/lg4-lg3)=x

x=1/12

Tuesday, 12 March 2013

Quadratic Equation (Type of Roots)


A02 EEEEEEE question 15 (Marcellus working)

15) Find the exact value of x if (3x)^1g3 = (4x)^1g4

First, I add log to both sides.

lg (3x)^lg3 = lg (4x)^lg4

Then i will bring down the power

(lg3)(lg 3x) = (lg4)(lg 4x)

Expand

(lg3)^2+(lg3)(lgx) = (lg4)^2+(lg4)(lgx)

Change of subject

(lg3)^2-(lg4)^2 = (lg4)(lgx)-(lg3)(lgx)

Factorise

(lg3)^2-(lg4)^2 = (lgx)[(lg4)-(lg3)]

Change the subject of equation to (lgx)

lgx = [(lg3)^2-(lg4)^2]/[(lg4)-(lg3)]

Further simplify

lgx = -(lg3+lg4)

=-lg12

Remove lg from both sides

x = 12 ^(-1)
x=1/12 #

Monday, 11 March 2013

Math File Check (Selected Students)

The following students have been randomly selected for file check by the Mathematics Department:
Index no 4, 7, 9, 13, 18 & 21.


Checklist:
1. Is there a content page?
2. Did I complete all my corrections?

Please ENSURE that your file is in order and ready by 13Mar (Wed) in class before your Math lesson.

Friday, 8 March 2013

Reflection - Maths Level Tests

There are two separate reflections for Elementary Mathematics and Additional Mathematics. Please scroll down to the next two posting to complete your reflection.

AM Level Test Reflection

EM Level Test Reflection

Tuesday, 5 March 2013

Revision: Solving Quadratic Equation


Revision : Solving Quadratic Equations

source: http://www.regentsprep.org/Regents/math

Let us review what has been done in previous 2 years.

Friday, 1 March 2013

Math File Check


Please bring your Math file to class by 4Mar. You should have completed the filing and corrections.