KSSM ADDMATH F4 (CHAPTER 4) by Cikgu Nizam

Express the following in the form of  $ma^n$  where a is a prime number

 $2^{\left(n+3\right)}-2^{\left(n+1\right)}+2^n$  

•  $7\left(2^n\right)$  

•  $5\left(2^n\right)$  

•  $3\left(2^n\right)$  

•  $2\left(2^n\right)$  

Determine the value of $\left(\sqrt{2}\times\sqrt{3}\right)^2$ 

• 5

• 6

• 25

• 36

Simplify the following in the form $a\sqrt{b}$  .

 $2\sqrt{50}-3\sqrt{2}$  

•  $4\sqrt{2}$  

•  $5\sqrt{2}$  

•  $6\sqrt{2}$  

•  $7\sqrt{2}$  

Simplify the following

 $\frac{3}{\sqrt{5}-\sqrt{2}}$  

•  $\sqrt{2}-\sqrt{5}$  

•  $\sqrt{5}+\sqrt{2}$  

•  $\sqrt{5}-\sqrt{2}$  

•  $-\sqrt{5}-\sqrt{2}$  

Determine the value of the logarithm

 $\log_28$  

• 3

• 4

• 5

• 6

Write the following logarithmic expressions in the simplest form
 $3-\log_2p+\log_216$  

•  $\log_2\frac{3}{p}$  

•  $\log_2\frac{16}{p}$  

•  $\log_2\frac{96}{p}$  

•  $\log_2\frac{128}{p}$  

 Evaluate the following

 $2^{\log_25}$ 

• 2

• 3

• 4

• 5

Convert $\log_4T$  to the base 2

•  $\frac{\log_4T}{4}$  

•  $\frac{\log_2T}{2}$  

•  $\frac{\log_2T}{4}$  

•  $\frac{\log_4T}{2}$  

Solve

 $\log_2\left(3x-4\right)=3$  

• x=4

• x=5

• x=6

• x=7

 $\log_3\left(4x+1\right)=2+\log_3\left(x-1\right)$  

Solve

• x=5

• x=4

• x=3

• x=2