15
Q:

The value of x satisfying the following relation:

log12x = log23x-2

A) 1/3 B) -1/3
C) 3 D) None of these

Answer:   D) None of these



Explanation:

But at x=-1/3, log x is not defined.

 

The only admissible value of x is 1.

Subject: Logarithms
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Q:

If log8x = 313 then find the value of x?

A) 25 B) 32
C) 37 D) None of these
 
Answer & Explanation Answer: B) 32

Explanation:
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36 5389
Q:

The value of log2log5625 is :

A) 2 B) 5
C) 10 D) 15
 
Answer & Explanation Answer: A) 2

Explanation:
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16 3798
Q:

The value of log3437 is :

A) 1/3 B) -3
C) -1/3 D) 3
 
Answer & Explanation Answer: A) 1/3

Explanation:

log3437log73713log77We know that logxx = 1=> 13

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12 4226
Q:

If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is

A) 2.875 B) 3.875
C) 4.875 D) 5.875
 
Answer & Explanation Answer: B) 3.875

Explanation:

ANS:      log5512 = log512/log5  =  log29log10/2  =9log2log10-log2 =9*0.30101-0.3010 =2.709/0.699 =2709/699 =3.876

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203 70558
Q:

 If log 2 = 0.30103, Find the number of digits in 256 is

A) 17 B) 19
C) 23 D) 25
 
Answer & Explanation Answer: A) 17

Explanation:

log(256) =56*0.30103 =16.85768.

 

Its characteristics is 16.

 

Hence, the number of digits in 256 is 17.

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118 56988
Q:

What is the characteristic of the logarithm of 0.0000134?

A) 5 B) -5
C) 6 D) -6
 
Answer & Explanation Answer: B) -5

Explanation:

log (0.0000134). Since there are four zeros between the decimal point and
the first significant digit, the characteristic is –5.

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37 9208
Q:

If logx916 = -12, then the value of x?

A) -3/4 B) 3/4
C) 81/256 D) 256/81
 
Answer & Explanation Answer: D) 256/81

Explanation:
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88 7441
Q:

if log105+log5x+1=log10(x+5)+1,then x is equal to

A) 1 B) 3
C) 5 D) 10
 
Answer & Explanation Answer: B) 3

Explanation:

log105+log5x+1=log10x+5+1

log1055x+1=log1010x+5

55x+1=10x+5

5x+1=2x+10

3x=9

x=3

 

 

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