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# Logarithm Questions

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

If log 27 = 1.431, then the value of log 9 is:

A0.934

B0.945

C0.954

D0.958

ENone of these

Explanation:

Log 3^3 =1.431

3 log 3=1.431

Log 3= 0.477

Log 9 => Log (3)^2

2(log 3 )

2(0.477)= 0.954

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Choose the correct option.

If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?

A0.3396

B0.4396

C0.5396

DNone of these

Explanation:

log 0.317=0.3332 and log 0.318=0.3364
then
log 0.319=log0.318+(log0.318-log0.317)
=0.3396

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Choose the correct option.

if log(2^a * 3^b * 5^c) is the arithmetic mean of lob (2^2 * 3^3 *5), log(2^6 * 3 * 5^7) and log(2 * 3^2 * 5^4), then a equals.

A3

B4

C2

DNone of these

Explanation:

Here is no explanation for this answer

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Choose the correct option.

The value of log0.008 √5 + log√3 81 - 7 is equal to

A1/3

B2/3

C5/6

D7/6

Explanation:

Here is no explanation for this answer

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Choose the correct option.

Suppose, log3 x= log12 y = a, where x, y are positive numbers, if G is the geometric mean of x and y, and log6 G is equal to

A_/a

B2a

Ca/2

Da

Explanation:

Here is no explanation for this answer

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2
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Choose the correct option.

Solve log1010,000 = x.

A2

B4

C3

D6

Explanation:

log1010,000 = x
10x = 10,000
10x = 104
x = 4

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Choose the correct option.

Find x if log1/2 x = 4.

A16

B18

C1/8

D1/16

Explanation:

log1/2 x = 4
(1/2)4 = x
x = 1/16

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Choose the correct option.

The value of log2 16 is:

A1/8

B4

C8

D16

Explanation:

Let log2 16 = n.
Then, 2n = 16 = 24
=> n = 4.
log2 16 = 4.

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Choose the correct option.

If ax = by, then:

Alog a/b = x/y

Blog a/log b = x/y

Clog a/log b = y/x

D1

ENone of these

Explanation:

ax = by
log ax = log by

x log a = y log b

log a = y .
log b x

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Choose the correct option.

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

A18

B19

C20

D21

Explanation:

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

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

Workspace

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