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# Logarithm Quiz-1

Question 1

Time: 00:00:00
If  $\log_{x}\frac{9}{16}=-\frac{1}{2}$ , then find the value of x .

-3/4

-3/4

3/4

3/4

81/256

81/256

256/81

256/81

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Question 2

Time: 00:00:00
If $\log_{x}y=100$ and $\log_{2}x=10$, then find the value of y.

$2^{10}$

$2^{10}$

$2^{100}$

$2^{100}$

$2^{1000}$

$2^{1000}$

$2^{10000}$

$2^{10000}$

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Question 3

Time: 00:00:00
If log 2 = 0.30103, then find the  number of digits in $2^{64}$.

18

18

19

19

20

20

21

21

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Question 4

Time: 00:00:00
If  $\log_{10}7=a$, then find the value of

$\log_{10}\frac{1}{70}$.

$-(1+a)$

$-(1+a)$

$(1+a)^{-1}$

$(1+a)^{-1}$

$\frac{a}{10}$

$\frac{a}{10}$

$\frac{1}{10a}$

$\frac{1}{10a}$

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Question 5

Time: 00:00:00
Find the value of x, if

$\log_{10}5+\log_{10}(5x+1)=\log_{10}(x+5)+1$.

1

1

3

3

5

5

10

10

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Question 6

Time: 00:00:00
Find the value of $\log_{9}59049$.

9

9

5

5

7

7

8

8

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Question 7

Time: 00:00:00
If x, y and z are the sides of a right angled triangle, where ‘z’ is the hypotenuse, then find the value of $\frac{1}{\log_{x+z}y}+\frac{1}{\log_{z-x}y}$ .

1

1

2

2

3

3

4

4

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Question 8

Time: 00:00:00
If $\log_{5}16,\log_{5}(3^{x}-4),\log_{5}(3^{x}+\frac{97}{16})$ are in arithmetic progression, then find the value of x.

8

8

1

1

5

5

3

3

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Question 9

Time: 00:00:00
Solve $(\log_{2}x)^{2}-\log_{2}x^{4}-32=0$. [Consider x as an integer]

125

125

256

256

375

375

250

250

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Question 10

Time: 00:00:00
Find the value of x satisfying the $\log_{10}(2^{x}+x-41)=x(1-\log_{10}5)$ .

35

35

40

40

41

41

43

43

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