Daily study session 3: Indices and Logarithm

Daily Study Session 3: Indices and Logarithm

Please answer the following questions:

Daily study session 2:

Hi all students, the questions for the daily study session 2 is available now.

Please try out and send me the answer

 

Answer:

Q1

(a)

 2^x=y

2^(x+3) = (2^x) (2^3) = y(2^3) = 8y

(b)

4[(2^3)^(1-x)] = 4[8^(1-x)]

=4[(8^1)/(8^x)]

=4[8((2^3)^x)]

=4[8((2^x)^3)]

=4[8(y^3)]

=32(y^3)

(c)

8[4^(x-2)]

=8[(4^x)/(4^2)]

=8[((2^2)^x)/16]

=8[((2^x)^2)/16]

=8[(y^2)/16]

=(y^2)/2

(d)

(8^x) - (4^-x)

= [(2^3)^x]-[(2^2)^(-x)]

=[(2^x)^3]-[(2^x)^(-2)]

=(y^3)-(y^(-2))

= (y^3)-[1/(y^2)]

Q2

{[8(x^2)]^(8-r)} {[1/(2x)]^r}

={[(2^3)(x^2)]^(8-r)}{[(2x)^(-1)]^r}

={(2^3)^(8-r)}{(x^2)^(8-r)}{2^(-r)}{x^(-r)}

=[2^(24-3r)][ x^(16-2r)][2^(-r)][x^(-r)]

=[2^(24-3r-r)][x^(16-2r-r)]

=[2^(24-4r)][x^(16-3r)] (shown)

Daily Study Session 1: Answer

The answer of the daily study session 1 is available here. You may check your answer here.

疑难解答 （１）：Maths（GEOMETRIC PROGRESSION）

Source from Wikipedia:

Question from Students:

Using the concept and the basic knowledge shown above:

Daily Study Session 1: hint

For Form 3 entering Form 4 students or any students never study about indices topic, you may refer tothe hint here

Indices

Note:

Additinal Maths: Quadratics (SPM/IGCSE)

For IGCSE and SPM students who taking additional Maths, please try out this questions.
You may send your answer to me or post to my FB page.

I will announce the answer and solution later

My email is tancheeseng84@gmail.com
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Set

Note:

1.1 introduction to set
1. Students need to be familiar with various symbol
2. What is the difference between finite set and infinite set?
How to represent each of them?

Finite set:
3. Set builder notation</p>
4. Empty or Null set</p>
5. Equal sets</p>
6. Subsets</p>
7. Universal set</p>
8. Complement of a set
9. Venn diagram
10. Intersection of set
11. Union of set