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MCQ: Logarithms - 1 - SSC CGL MCQ


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10 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Logarithms - 1

MCQ: Logarithms - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Logarithms - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Logarithms - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Logarithms - 1 below.
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MCQ: Logarithms - 1 - Question 1

The value of log6 log5 15625 is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 1

log6 log515625 = log6 log5(5)6
= log66(log55) = 1 

MCQ: Logarithms - 1 - Question 2

logx (16/25) = -1/2, then x is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 2

∵ logx(16/25) = -1/2
⇒ 16/25 = (x)-1/2 = 1/x1/2
∴ x = 625/256 

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MCQ: Logarithms - 1 - Question 3

If loga 3 = 1/3, then value of a is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 3

∵ loga3 = 1/3
⇒ 3 = (a)1/3
∴ a = 27 

MCQ: Logarithms - 1 - Question 4

If log10000x = -1/4, then x is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 4

∵ log104x = -1/4
⇒ x = (104)-1/4
= 1/10 

MCQ: Logarithms - 1 - Question 5

The value of log2 (1/64) is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 5

log2(1/64) = log21 - log2 26
= 0 - 6 = -6 

MCQ: Logarithms - 1 - Question 6

If log10 x = 7, then value of x is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 6

log10x = 7
∴ x = 107

MCQ: Logarithms - 1 - Question 7

Given that log10 2 = 0.3010 the value of log10 5 is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 7

log105 = log10(10/2)
= log1010 - log102
= 1-0.3010
= 0.6990 

MCQ: Logarithms - 1 - Question 8

If log 125 / log 5 = x, then x is equal to ?

Detailed Solution for MCQ: Logarithms - 1 - Question 8

If log 125 / log 5 = x
then x = 3log5 / log5= 3 

MCQ: Logarithms - 1 - Question 9

If px = q, then ?

Detailed Solution for MCQ: Logarithms - 1 - Question 9

∵ px = q
⇒ logppx = logpq
⇒ xlogpp = logpq
∴ x = logpq (∵logpp = 1) 

MCQ: Logarithms - 1 - Question 10

If log10 (10x) = 2.7532, then log10 (10000x) is ?

Detailed Solution for MCQ: Logarithms - 1 - Question 10

log10(103.10x) = log10 103 + log10(10x)
= 3 + 2.7532
= 5.7532 

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