Logarithm Questions and Answers

Questions and Answers on logarithms

A logarithm denote as the contradictory of power. In other terms, if we go for a logarithm of a particular value, we unknot exponentiation. Logarithm Questions and Answers are discussed below:

For instance: If the base is taken as b = 3 and increase it to the power of k = 2 we get the result as 32. The result is referred as c, showed by 32 = C. The rules of exponentiation can be used to evaluate that the result is C =32 = 8.

Given an example, consider that someone inquired “2, raised to which power is equivalent to 16”? The result will be 4. It is further articulated by the logarithmic calculation, i.e. log2 (16) = 4, which is further spoken as “log base two of sixteen is four.”

Logarithm form

Log2(8) = 3

Log4(64) = 3

Log5(25) = 2

Exponential form

2^3= 8

4^3= 64

5^2= 25

Generalizing the examples above leads us to the formal definition of a logarithm.
Logb (a) =c ↔ bc =a

Both the equations define the similar link where:
‘b’ is considered as the base,
c is considered as the exponent
a is considered as the argument

Logarithm Questions and Answers

A logarithm denote as the contradictory of power. In other terms, if we go for a logarithm of a particular value, we unknot exponentiation. Logarithm Questions and Answers are discussed below:

For instance: If the base is taken as b = 3 and increase it to the power of k = 2 we get the result as 32. The result is referred as c, showed by 32 = C. The rules of exponentiation can be used to evaluate that the result is C =32 = 8.

Given an example, consider that someone inquired “2, raised to which power is equivalent to 16”? The result will be 4. It is further articulated by the logarithmic calculation, i.e. log2 (16) = 4, which is further spoken as “log base two of sixteen is four.”

Logarithm form

Log2(8) = 3

Log4(64) = 3

Log5(25) = 2

Exponential form

2^3= 8

4^3= 64

5^2= 25

Generalizing the examples above leads us to the formal definition of a logarithm.
Logb (a) =c ↔ bc =a

Both the equations define the similar link where:
‘b’ is considered as the base,
c is considered as the exponent
a is considered as the argument

Question 1

Time: 00:00:00
If the value of log 3 = 0.477, then find the number of digits in 336

18

18

17

17

20

20

24

24

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Question 2

Time: 00:00:00
If logx (5/18) = 1/2 , then find the value of x:

456/12

456/12

25/324

25/324

324/78

324/78

566/18

566/18

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Question 3

Time: 00:00:00
The value of log3 27 is :

2

2

3

3

7

7

8

8

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Question 4

Time: 00:00:00
If log 5 = 0.698, find the number of digits in 525

3

3

18

18

4

4

6

6

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Question 5

Time: 00:00:00
Solve : px = qy

z/x

z/x

y/x

y/x

X/z

X/z

A/x

A/x

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Question 6

Time: 00:00:00
Solve the given logarithmic equation:

log7x = 3

324

324

343

343

289

289

366

366

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Question 7

Time: 00:00:00
Solve: log √9 /log 9  

1/2

1/2

1

1

1/3

1/3

Zero

Zero

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Question 8

Time: 00:00:00
Solve : logx√3 = 1/2

2

2

3

3

5

5

6

6

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Question 9

Time: 00:00:00
Solve: log6x3 = 18

46656

46656

4/9

4/9

223456

223456

4/6

4/6

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Question 10

Time: 00:00:00
Prove : log636  = 3x