Sasi Math (Revised for 1024)

Scroll:Logarithms >> True or False >> mcq (4206)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

State whether each of the following statements is ture or false.

log₂8 = 3

1) True
2) none of above
3) False
4) same

( )

State whether each of the following statements is ture or false.

log_{$\frac{(1}{2)}$}8 = 3

1) False
2) same
3) none of above
4) True

( )

State whether each of the following statements is ture or false.

log₄(9+9) = log₄6+log₄3

1) True
2) none of above
3) same
4) False

( )

State whether each of the following statements is ture or false.

log₃81 = 3

1) True
2) same
3) none of above
4) False

( )

State whether each of the following statements is ture or false.

log₄64 = 3

1) False
2) none of above
3) True
4) same

( )

State whether each of the following statements is ture or false.

log₃64 = 3

1) none of above
2) True
3) False
4) same

( )

State whether each of the following statements is ture or false.

log₅125 = 3

1) False
2) same
3) none of above
4) True

( )

State whether each of the following statements is ture or false.

log₄(6+3) = log₄6+log₄3

1) False
2) none of above
3) same
4) true

( )

State whether each of the following statements is ture or false.

log₃64 = 3

1) False
2) same
3) True
4) none of above

( )

10)

State whether each of the following statements is ture or false.

log_a(M-N) = log_aM ÷ log_aN

1) False
2) same
3) True
4) none of above

( )

State whether each of the following statements is ture or false.

log₂8 = 3

1) same
2) False
3) none of above
4) True

Answer: 4

SOLUTION 1 :

log₂8 ⇒ 8 = 2³→ True

State whether each of the following statements is ture or false.

log_{$\frac{(1}{2)}$}8 = 3

1) none of above
2) True
3) False
4) same

Answer: 3

SOLUTION 1 :

8 ⇒ (1/2)³ ⇒ 8≈ $\frac{1}{8}$ → False

State whether each of the following statements is ture or false.

log₄(9+9) = log₄6+log₄3

1) same
2) False
3) none of above
4) True

Answer: 4

SOLUTION 1 :

log₄(9+9) = log₄6+log₄3

⇒ log₄18 = log₄(6x3)

⇒ log₄18 = log₄18

⇒ 18 = 18 →true

State whether each of the following statements is ture or false.

log₃81 = 3

1) none of above
2) same
3) True
4) False

Answer: 3

SOLUTION 1 :

log₃81 ⇒ 81 = 3³→ True

State whether each of the following statements is ture or false.

log₄64 = 3

1) True
2) False
3) same
4) none of above

Answer: 1

SOLUTION 1 :

log₄64 ⇒ 64 = 4³→ True

State whether each of the following statements is ture or false.

log₃64 = 3

1) False
2) none of above
3) True
4) same

Answer: 1

SOLUTION 1 :

log₃64 ⇒ 64 = 4³→ False

State whether each of the following statements is ture or false.

log₅125 = 3

1) False
2) same
3) none of above
4) True

Answer: 4

SOLUTION 1 :

log₅125 ⇒ 125 = 5³→ True

State whether each of the following statements is ture or false.

log₄(6+3) = log₄6+log₄3

1) true
2) False
3) same
4) none of above

Answer: 2

SOLUTION 1 :

log₄(6+3) = log₄6+log₄3

⇒ log₄9 = log₄(6x3)

⇒ log₄9 = log₄18

⇒ 9 = 18 →False

State whether each of the following statements is ture or false.

log₃64 = 3

1) True
2) same
3) none of above
4) False

Answer: 4

SOLUTION 1 :

log₃64 ⇒ 64 = 4³→ False

10)

State whether each of the following statements is ture or false.

log_a(M-N) = log_aM ÷ log_aN

1) False
2) same
3) True
4) none of above

Answer: 1

SOLUTION 1 :

loga(M-N) = logaM ÷ logaN