# AMCAT Logarithms Quiz-1

Question 1

Time: 00:00:00
$\log_{6}\left [ \frac{1}{216} \right ]$:

-3

-3

-2

-2

1

1

5

5

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Question 2

Time: 00:00:00
Find the value of x for the following logarithmic expression:
$\log_{25}x+\log_{5}x=3$

26

26

25

25

24

24

23

23

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Question 3

Time: 00:00:00
What will be the value of given logarithmic expression:
$\log_{2}(log_{5}125)$

$\log_{3}6$

$\log_{3}6$

$\log_{2}3$

$\log_{2}3$

$\log_{4}10$

$\log_{4}10$

$\log_{10}6$

$\log_{10}6$

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Question 4

Time: 00:00:00
Find out the value of given logarithmic term:$\log_{3}(243)$

-3

-3

-2

-2

1

1

5

5

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Question 5

Time: 00:00:00
Since, the value of log 2 is 0.3010, then what will be the value for number of digits in $4^{30}$ is:

18

18

16.50

16.50

18.06

18.06

17

17

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Question 6

Time: 00:00:00
If the value of log 3 is 0.4771, then the value of $\log3^6$ is:

2.0

2.0

2.8

2.8

3.5

3.5

4.8

4.8

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Question 7

Time: 00:00:00
Find the value of x for the logarithmic equation $\log_{7}(49)+\log_{7}(7)=x$

1

1

2

2

3

3

4

4

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Question 8

Time: 00:00:00
If $\log_{4096}x=-\frac{1}{4}$, then find the value of x:

1/8

1/8

2/9

2/9

3/7

3/7

1/7

1/7

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Question 9

Time: 00:00:00
If log10 2 = 0.3010, then the value of $\log_{10}40$ is:

1.6784

1.6784

2.6526

2.6526

1.6020

1.6020

1.4512

1.4512

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Question 10

Time: 00:00:00
Find the value of x for the logarithmic equation$\log_{4}x=-10$ :

1 / 1000235

1 / 1000235

- 1 / 1234567

- 1 / 1234567

- 2 / 1047742

- 2 / 1047742

1 / 1048576

1 / 1048576

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