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# Logarithm Questions

Home > Quantitative Aptitude > Logarithm > General Questions
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Choose the correct option.

If log 2 = 0.30103, the number of digits in 264 is:

A18

B19

C20

D21

Answer: Option C

Explanation:

$log⁡(264)=64×log⁡2=(64×0.30103)=19.26592$

Its characteristic is 19.
Hence, then number of digits in 264 is 20

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Choose the correct option.

Which of the following statements is not correct?

Alog10 10 = 1

Blog (2 + 3) = log (2 x 3)

Clog10 1 = 0

Dlog (1 + 2 + 3) = log 1 + log 2 + log 3

ENone of these

Answer: Option B

Explanation:

Here is no explanation for this answer

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Choose the correct option.

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

A2.87

B2.967

C3.876

D3.912

Answer: Option C

Explanation:

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

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Choose the correct option.

log √8/log 8 is equal to:

A1/√8

B1/4

C1/2

D1/8

E1

Answer: Option C

Explanation:

Here is no explanation for this answer

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Choose the correct option.

Find x if logx(9/25) = 2.

A3/5

B5/3

C6/5

D5/6

Answer: Option A

Explanation:

logx(9/25) = 2
x2 = 9/25
x2 = (3/5)2
x = 3/5

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Choose the correct option.

If logx y = 100 and log2 x = 10, then the value of y is:

A210

B2100

C21000

D210000

E1

Answer: Option C

Explanation:

log2 x = 10 => x = 210
logx y = 100
y = x100
y = (210)100
y = 21000

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Choose the correct option.

If log a/b + log b/a = log (a + b), then:

Aa+b=1

Ba - b = 1

Ca = b

Da2 - b2 = 1

Answer: Option A

Explanation:

log a/b + log b/a = log (a + b)
log (a + b) = log (a/b x b/a) = log 1.
So, a + b = 1.

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Choose the correct option.

If log10 7 = a, then log10 (1/70) is equal to:

A- (1 + a)

B(1 + a)-1

Ca/10

D1/10a

ENone of these

Answer: Option A

Explanation:

Here is no explanation for this answer

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Choose the correct option.

If log10 2 = 0.3010, then log2 10 is equal to:

A699/301

B1000/301

C0.301

D0.699

Answer: Option B

Explanation:

log2 10 = 1/log2 2 = 1/0.3010 = 10000/3010 = 1000/301

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Choose the correct option.

If log10 2 = 0.3010, the value of log10 80 is:

A1.602

B1.903

C3.903

D1

ENone of these

Answer: Option B

Explanation:

Here is no explanation for this answer

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