Logarithms | Aptitude Questions and Answers

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Q11. If $\mathbf{log_{10}2=0.3010}$ , then $\mathbf{log_{2}10}$ is equal to :

A. 1000/301

B. 699/301

C. 0.3010

D. 0.6990

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Correct Answer : 1000/301

Q12. If $\mathbf{log_{12}27=a}$ , then $\mathbf{log_{6}16}$ is :

A. 4(3-a)/(3+a)

B. 4(3+a)/(3-a)

C. 3+a/a(3-a)

D. 3-a/a(3+a)

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Correct Answer : 4(3-a)/(3+a)

Q13. If $\mathbf{a^{x}=b^{y}}$ ,then:

A. log a/b = x/y

B. log a/ log b = x/y

C. log a/ b = y/x

D. log a/log b = y/x

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Correct Answer : log a/log b = y/x

Q14.

$\mathbf{\frac{\log \sqrt{8}}{\log 8}}$ is equal to :

A. 1/8

B. 1/2

C. 1/6

D. 1/4

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Correct Answer : 1/2

Q15. If $\mathbf{log 2=0.3010}$ and $\mathbf{log 3=0.4771}$ , the value of $\mathbf{log_{5}512}$ is :

A. 3.912

B. 2.870

C. 3.876

D. 2.967

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Correct Answer : 3.876

Q16. $\mathbf{2log_{10}5+log_{10}8-\frac{1}{2}log_{10}4=?}$

A. 2

B. 5

C. 4

D. 6

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Correct Answer : 2

Q17. If $\mathbf{log_{10}5+log_{10}(5x+1)=log_{10}(x+5)+1}$ , then x is equal to :

A. 3

B. 1

C. 5

D. 10

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Correct Answer : 3

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