Quiz about QUIZ ADD MATH CHAPTER 4

Question 1

Symbol "In" can be written as:
Simbol "In" boleh ditulis dengan:

Accepted Answer

$$\log_{e\ }$$

Answer

$$\log_{10\ }e$$

Answer

$$e^1$$

Answer

$$\log_e\ 1$$

Question 2

Convert each expression in the following index form to an expression in logarithmic form
Tukarkan setiap ungkapan dalam bentuk indeks berikut kepada ungkapan dalam bentuk logaritma

$$3^4=81$$

Accepted Answer

$$\log_{3\ }81\ =\ 4$$

Answer

$$\log_{81}\ 3\ =\ 4$$

Answer

$$\log_{4\ }\ 3\ =\ 81$$

Answer

$$\log_{5\ \ }81\ =\ 4$$

Question 3

$$Explain\ why\ 27^{\frac{1}{3}}=3$$
$$Terangkan\ mengapa\ 27^{\frac{1}{3}}=\ 3$$

Accepted Answer

$$3\sqrt{27}=\ 3 imes3 imes3$$

Answer

$$27\ =\ 3 imes3 imes3$$

Answer

$$\sqrt{9} imes3\ =\ 3\ imes3 imes3$$

Answer

$$3^2 imes\sqrt{9}=3 imes3 imes3$$

Question 4

$$a=\sqrt{8}+2$$ $$b=\sqrt{8}-2$$ $$T=a^2-b^2$$
Work out on T / Selesaikan T
Give your answer in the form $$c\sqrt{2}$$ where c is an integer
Berikan jawapan anda dalam bentuk $$c\sqrt{2}$$ di mana c ialah integer

Accepted Answer

$$16\sqrt{2}$$

Answer

$$8\sqrt{2}$$

Answer

$$4\sqrt{2}$$

Answer

$$6\sqrt{2}$$

Question 5

$$Write\ \sqrt{80}+\sqrt{180}\ in\ the\ form\ p\sqrt{5}\ where\ p\ is\ an\ integer$$ $$Tuliskan\ \sqrt{80}\ +\sqrt{180}\ dalam\ bentuk\ p\sqrt{5}\ \dim ana\ p\ ialah\ integer$$

Accepted Answer

$$10\sqrt{5}$$

Answer

$$4\sqrt{5}$$

Answer

$$6\sqrt{5}$$

Answer

$$15\sqrt{5}$$

Question 6

Given $$\log_32=m$$ and $$\log_35=n$$ , express each of the following in terms of m and n
Diberi dan , ungkapkan setiap yang berikut dalam sebutan m dan n

(a) $$\log_3300$$

Accepted Answer

2m + 1 + 2n

Answer

3m + 2 + 2n

Answer

1m + 1 + 3n

Answer

1m + 1 + 2n

Question 7

Solve the equation $$3^{x-2}=12$$ . (3 decimals places)

Accepted Answer

4.262

Answer

1.242

Answer

3.154

Answer

5.413

Question 8

Expand the logarithm.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

The diagram shows a square. Calculate the area of the square.

Accepted Answer

$$7+4\sqrt{3}$$

Answer

$$8+3\sqrt{6}$$

Answer

$$3+8\sqrt{6}$$

Answer

$$4+7\sqrt{3}$$

Question 10

4^(x-2)= 64^(x+1)

Accepted Answer

-5/2

Answer

-2/5

Answer

7/2

Answer

2/7

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