Logarithm Test

Result

Logarithm Test - 4

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Weekly Quiz Competition

Question 1
3 / -1

If log₄ 5 = a and log₅ 6 = b then what is the value of log₃ 2?

A

B

C

D

Solution
Question 2
3 / -1

If 2 [log (x + y) - log 5] = logx + logy, then what is the value of x² + y²?

A
20-xy

B
23xy

C
2 5 - xy

D
28xy

Solution
Question 3
3 / -1

A

B

C

D

Solution
Question 4
3 / -1

A

B

C
1

D
N one of these

Solution
Question 5
3 / -1

What is the value of log₃2.log₄3.log₅4...log₁₆15?

A
1/2

B
1/3

C
2/3

D
1/4

Solution
Question 6
3 / -1

log 32700 = ?

A
log 3.27+ 4

B
log 3.27+ 2

C
2 log 327

D
100 x log 327

Solution

Log 32700 = log 3.27 + log 10000 = log 3.27 + 4
Question 7
3 / -1

If log₁₀2 = .301 find log₁₀125.

A
2.097

B
2.301

C
2.10

D
2.087

Solution

log₁₀ 125 = log₁₀( 1000/8) = log. 1000 - 31og₂ = 3 - 3 x 0.301 = 2.097
Question 8
3 / -1

log₁₅3375 x log₄1024 = ?

A
16

B
18

C
12

D
15

Solution

log₁₅3375 x Log₄1024 = 3 log₁₅1 5 x 5 log₄ 4 = 3 x 5 = 15.
Question 9
3 / -1

log₆₂₅ √5 = ?

A
4

B
8

C
1/8

D
1/4

Solution

1/2 log₆₂₅ 5 = [1/(2 x 4)] log₅5 = 1/8.
Question 10
3 / -1

3 log 5 + 2 log 4 - log 2 = ?

A
4

B
3

C
200

D
1000

Solution

3 log 5 + 2 log 4 - log 2
= log 125 + log 16 - log 2
= log (125 x 16)/2
= log 1000 = 3.
Question 11
3 / -1

log (12 - x) = -1

A
11.6

B
12.1

C
11

D
11.9

Solution

1/10 = 12 - x => x = 11.9
Question 12
3 / -1

log 2^X = 3

A
9.87

B
3 log 2

C
3/log 2

D
9.31

Solution

x log 2 = 3
log 2 = 3/x.
Therefore, x = 3/log 2
Question 13
3 / -1

5^X = 10

A
log 5

B
log 10/log 2

C
log 2

D
1/log 5

Solution

x = log₅10 = l/log₁₀5 = 1/log 5.
Question 14
3 / -1

find x If log x = log7.2 - log 2.4

A
1

B
2

C
3

D
4

Solution

log x = log (7.2/2.4) = log 3 ⇒ x = 3
Question 15
3 / -1

Find x if logx =2 log 5 + 3 log 2

A
50

B
100

C
150

D
200

Solution

log x = log 25 + log 8 = log (25 x 8 ) = log 200.