Logarithm Questions & Answers

Practice important Logarithm questions to accurately solve them in the exams. Logarithm questions and answers have a low weightage in the examination and must be refined.

Concepts

Formulas

Practice Questions

Q1 $1. I f a^{2} + b^{2} = c^{2}, t h e n (\frac{1}{\log_{(c + a)} (b)}) + (\frac{1}{\log_{(c - a)} (b)}) =$

-1

-2

Q2 If log 2 = 0.3010, then the number of digits in (2)^100 is?

Q3 $I f l o g_{4} X + l o g_{4} (\frac{1}{6}) = \frac{1}{2} t h e n t h e v a l u e o f X i s ?$

Q4 If 2logX = 5logY + 3, then the relation between X and Y is?

X^2 = 100Y^2

X^1/5 = 1000*Y^1/2

X^2 = 100*Y^5

X^2 = Y^5 + 1000

Q5 $I f l o g_{7} 2 = m, t h e n l o g_{49} 28 i s e q u a l t o$

2(1 + 2m)

(1 + 2m)/2

2/(1 + 2m)

1 + m

Q6 $I f l o g_{10} X = Y, t h e n l o g_{1000} X^{2} i s e q u a l t o$

Y^2

3Y/2

(2/3)Y

Q7 $2^{\log_{3} (7)} - 7^{\log_{3} (2)} = ?$

$\log_{2} (7)$

$\log (7)$

Q8 $I f \log_{10} 7 = a, t h e n \log_{10} (\frac{1}{70}) i s e q u a l t o :$

- (1 + a)

(1 + a)-1

a/10

1/10

Q9 $I f l o g_{10} 5 + l o g_{10} (5 x + 1) = l o g_{10} (x + 5) + 1, t h e n x i s e q u a l t o :$

Q10

Q10 $T h e v a l u e o f (\frac{1}{\log_{3} (60)}) + (\frac{1}{\log_{4} (60)}) + (\frac{1}{\log_{5} (60)}) i s :$

1 2

Practice Logarithm Questions & Answers

The more questions a candidate answers, the better their understanding of the Logarithm concepts and their ability to answer quickly and accurately.

Importance: Low

Difficulty level: 1 out of 5 (Easy)

Examination- SSC, Banking, GMAT, GRE, SAT, CAT, etc.

Parent section: Quantitative Aptitude

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