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# Logarithm Questions

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

What would be the value of (log a)2 -(log b)2

Alog(a+b)log(ab)

B3

Clog(ab)log(a/b)

DNone of these

Explanation:

Question is in the form of a2 - b2 so the formulae is
(a+b)(a-b)=a2 - b2 where a=loga,b=logb
substitute in the formulae we get
(loga+logb)(loga-logb)
(log(ab))(log(a/b))

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23
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Choose the correct option.

if x ls a real number such that log3(5)= log5(2+x), then which of the following ls true?

A0 < x < 3

B23 < x <30

Cx > 30

D3 < x < 23

Explanation:

Here is no explanation for this answer

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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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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 logx (9/16) = -1/2 , then x is equal to:

A-3/4

B3/4

C81/256

D256/81

ENone of these

Explanation:

logx (9/16) = -1/2

=> x-1/2 = 9/16
=> 1/âˆšx = 9/16
=> âˆšx = 16/9
=> x = (16/9)2
=> x = 256/81

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