Ques 51 : Choose the correct answer.

If antilog x 5 = 30, what can you infer about x?

Ques 52 : Choose the correct answer.

Every time x is increased by a given constant number, y doubles and z becomes three times. How will log(y) and log(z) behave as x is increased by the same constant number?

Ques 53 : Choose the correct answer.

x triples every second. How will log2x change every second?

Option 1 : It will double every second Option 2 : It will triple every second

Ques 54 : Choose the correct answer.

f(x) grows exponentially with x, how will f(log(x)) grow?

Option 1 : Exponentially

Linearly as it follows mx+c type of equation.

Ques 55 : Choose the correct answer.

What is the value of log512 8?

Option 1 : 3

log 512 8=n;

512^n=8;

2^9n=2^3;

9n=3;

n=1/3

Ques 56 : Choose the correct answer.

What is the value of log7 (1/49)?

Option 1 : 2 Option 2 : 1/2 Option 3 : -1/2

log7 (1/49)

=log7 (1/7)^2

=log7 (7)^-2

=-2

Ques 57 : Choose the correct answer.

Given that log64 x = 2/6, what is the value of x?

Option 1 : 2

log64 x=2/6 that implies x=(64)^2/6

ans=4=>4

Ques 58 : Choose the correct answer.

If 7x = 85, what is the value of x?

7^x=85

x=log(base 7)85

Ques 59 : Choose the correct answer.

If log10 2 = 0.3010, what is the number of digits in log2^64

Option 1 : 19

log2^64=64log2=64 x .3010=19.264

So number of digits in 2^64=19+1=20

Ques 60 : Choose the correct answer.

What is log1 10?

Option 1 : 1 Option 2 : 10 Option 3 : 0

If antilog x 5 = 30, what can you infer about x?

**Option 1 : x is a number between 1 and 2**Option 2 : x is 305 Option 3 : x is a number between 2 and 3 Option 4 : None of theseQues 52 : Choose the correct answer.

Every time x is increased by a given constant number, y doubles and z becomes three times. How will log(y) and log(z) behave as x is increased by the same constant number?

**Option 1 : Both will grow linearly with different slopes**Option 2 : Both will grow linearly with same slopes Option 3 : y will grow linearly, while z will not Option 4 : z will grow linearly, while y will notQues 53 : Choose the correct answer.

x triples every second. How will log2x change every second?

Option 1 : It will double every second Option 2 : It will triple every second

**Option 3 : It increases by a constant amount every second.**Option 4 : None of theseQues 54 : Choose the correct answer.

f(x) grows exponentially with x, how will f(log(x)) grow?

Option 1 : Exponentially

**Option 2 : Linearly**Option 3 : Quadratically Option 4 : None of theseLinearly as it follows mx+c type of equation.

Ques 55 : Choose the correct answer.

What is the value of log512 8?

Option 1 : 3

**Option 2 : 1/3**Option 3 : -3 Option 4 : -1/3log 512 8=n;

512^n=8;

2^9n=2^3;

9n=3;

n=1/3

Ques 56 : Choose the correct answer.

What is the value of log7 (1/49)?

Option 1 : 2 Option 2 : 1/2 Option 3 : -1/2

**Option 4 : -2**log7 (1/49)

=log7 (1/7)^2

=log7 (7)^-2

=-2

Ques 57 : Choose the correct answer.

Given that log64 x = 2/6, what is the value of x?

Option 1 : 2

**Option 2 : 4**Option 3 : 6 Option 4 : 8log64 x=2/6 that implies x=(64)^2/6

ans=4=>4

Ques 58 : Choose the correct answer.

If 7x = 85, what is the value of x?

**Option 1 : log7 85**Option 2 : log857 Option 3 : log107 Option 4 : log10857^x=85

x=log(base 7)85

Ques 59 : Choose the correct answer.

If log10 2 = 0.3010, what is the number of digits in log2^64

Option 1 : 19

**Option 2 : 20**Option 3 : 18 Option 4 : None of theselog2^64=64log2=64 x .3010=19.264

So number of digits in 2^64=19+1=20

Ques 60 : Choose the correct answer.

What is log1 10?

Option 1 : 1 Option 2 : 10 Option 3 : 0

**Option 4 : Tends to infinity**
Log base 1 and euiq 10 tends to infinity.

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