# Quiz 1

Question 1

Time: 00:00:00
If logx (0.1) = -1/3, then the value of x is -

10

10

1000

1000

100

100

10000

10000

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Question 2

Time: 00:00:00
If ax = by, then express in terms of x/y:-

log(a/b) = x/y

log(a/b) = x/y

log(a) / log(b) = x/y

log(a) / log(b) = x/y

log(a) / log(b) = y/x

log(a) / log(b) = y/x

None of these

None of these

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Question 3

Time: 00:00:00
If log8 x + log8 (1/6) = 1/3 then, the value of x will be:

18

18

16

16

12

12

24

24

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Question 4

Time: 00:00:00
If log x + log y = log (x + y), then which statement follows:

y = x/(x-1)

y = x/(x-1)

xy=1

xy=1

y = (x-1)/x

y = (x-1)/x

x = y

x = y

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Question 5

Time: 00:00:00
If log10 7 = a, then log10(1/70) will be equal to:

1/10a

1/10a

(1 +16 a)-1

(1 +16 a)-1

a/10

a/10

-(1 + a)

-(1 + a)

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Question 6

Time: 00:00:00
If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b will be:

$a^{2}+b^{2}= 7ab$

$a^{2}+b^{2}= 7ab$

$a^{2}-b^{2} = 7ab$

$a^{2}-b^{2} = 7ab$

(a+b)2 = 2

(a+b)2 = 2

(a+b)/3 = (1/2)(a+b)

(a+b)/3 = (1/2)(a+b)

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Question 7

Time: 00:00:00
If log x = log 3 + 2 log 2- (3/4) log 16. The value of x will be:

4

4

1

1

2

2

3/2

3/2

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Question 8

Time: 00:00:00
If log10000 x = -1/4, then the value of x is:

1/10

1/10

1/100

1/100

1/10000

1/10000

1/40

1/40

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#### PrepInsta User

log10000 x=-1/4 => log10^4 x=-1/4 By applying Antilog, we get, =>x=(10^4)^-1/4 =>x= 10^-1 or, x=1/10 So, the correct answer is A

Question 9

Time: 00:00:00
The value of 3 - (1/2) log39 will be:

2

2

3

3

43134

43134

4

4

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Question 10

Time: 00:00:00
loge xy - loge |x| is equal to:

loge x

loge x

None of these

None of these

- loge x

- loge x

loge |x|

loge |x|

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["0","40","60","80","100"]
["Need more practice! \r\n","Keep trying! \r\n","Not bad! \r\n","Good work! \r\n","Perfect! \r\n"]

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