# Logarithms Quiz-1

Question 1

Time: 00:00:00
Evaluate the value of $\log_{2}512$

7

7

5

5

9

9

6

6

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Question 2

Time: 00:00:00
If $\log_{x}y$=22 and $\log_{3}x$ = 4, then the value of y is:

$3^{88}$

$3^{88}$

$4^{66}$

$4^{66}$

$6^{88}$

$6^{88}$

$6^{44}$

$6^{44}$

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Question 3

Time: 00:00:00
Find the value of :  $\left ( \frac{\log a}{\log \sqrt{a}} \right )^3$

5

5

8

8

12

12

6

6

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Question 4

Time: 00:00:00
If $\log_{10}8=p$, then $\log_{10}(\frac{1}{80})$will be equal to:

-(p-1)

-(p-1)

(p-1)

(p-1)

(p+1)

(p+1)

-(p+1)

-(p+1)

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Question 5

Time: 00:00:00
If the value of $\log_{10}9= 0.9542$, then find the value of $\log_{9}10$

1.724

1.724

1.047

1.047

1.396

1.396

1.223

1.223

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Question 6

Time: 00:00:00
Find the value of  $\frac{1}{\log_{5} 60}+\frac{1}{\log_{3} 60}+\frac{1}{\log_{4} 60}$

zero

zero

1

1

1/2

1/2

2

2

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Question 7

Time: 00:00:00
Find the value of : $\log_{2} (pq)^2$.

$2(\log_{2} p+\log_{2} q)$

$2(\log_{2} p+\log_{2} q)$

$2(2\log_{2} p+\log_{2} q)$

$2(2\log_{2} p+\log_{2} q)$

$(2\log_{2} p+\log_{2} q)$

$(2\log_{2} p+\log_{2} q)$

$(\log_{2} p+2\log_{2} q)$

$(\log_{2} p+2\log_{2} q)$

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Question 8

Time: 00:00:00
If  $\log_{2} (p+q)=\log_{2} 10$$\log_{2} (pq)=4$ ; Find the value of (p-q)

3

3

5

5

6

6

8

8

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Question 9

Time: 00:00:00
If the value of  log 7 = 0.845, then find the number of digits in 720

12

12

17

17

19

19

23

23

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Question 10

Time: 00:00:00
If log (1/p) + log p + log (1/q) + log q = log (p+q), then, find the value of (p + q)= ?

zero

zero

1/2

1/2

1

1

2

2

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