Exponents and Logarithms Questions With Solutions

0 votes, 0 avg

Total time: 10 Minutes

Your time is over! try again.

Exponents and Logarithms (সূচক এবং লগারিদম)

Exponents and Logarithms Quiz enhances your knowledge and skills in Exponents and Logarithm problems. You will have 10 minutes to complete the quiz and if you do not answer any question within the specified time, it will be considered incorrect. You need to get a minimum of 50% marks to pass the quiz. Press the "Start Quiz" button to participate in the quiz.

1 / 35

If aⁿ is an exponential expression, which is not true for n?

Base

Power

Index

Exponent

2 / 35

According to exponent rules, when we multiply the expressions, we _______ the exponents.

Add

Subtract

Multiply

Divide

3 / 35

If a ϵ R and m, n ϵ N, then a^m × aⁿ =?

a^{m + n}

a^m × aⁿ

(m × n)^a

a^mn

4 / 35

2² × 2³ =?

128

5 / 35

According to exponent rules, when we divide the expressions, we _______ the exponents.

Subtract

Add

Divide

Multiply

6 / 35

If a ϵ R and m, n ϵ N, then a^m/aⁿ =?

a^{m – n}

a^{m + n}

a^m – aⁿ

a^mn

7 / 35

8⁵/8³ =?

128

8 / 35

If a, b ϵ R and n ϵ N, then (ab)ⁿ=?

aⁿ × bⁿ

aⁿ - bⁿ

aⁿ × b^-n

a^m × bⁿ

9 / 35

(7 × 4)²=?

784

764

684

847

10 / 35

If a, b ϵ R and n ϵ N, then (a/b)ⁿ=?

aⁿ/bⁿ

aⁿ- bⁿ

aⁿ+ bⁿ

aⁿ × bⁿ

11 / 35

(8/5)² =?

8²/5²

5²/8²

8²× 5²

8²+ 5²

12 / 35

If a ϵ R and m, n ϵ N, then (a^m)ⁿ=?

a^mn

aⁿ

n^mn

m^an

13 / 35

(2³)² =?

128

14 / 35

a⁰ =?

-1

Can't determine

15 / 35

a^-n =?

1/aⁿ

1/a^-n

n^-a

1/n^-a

16 / 35

5^-2 =?

0.04

0.0004

0.004

0.4

17 / 35

Which of the following is the standard form of 0.00001275?

1.275 x 10^-5

12.75 x 10^-5

1.027 x 10^-5

1.275 x 10⁵

18 / 35

Solve the equation: 2^{2x + 1} = 128.

19 / 35

Solve the equation: 2^x + 2^{1 - x} = 3.

0, 1

1, 2

0, 2

2, 3

20 / 35

If a, m and n are positive integers and a ≠ 1, then log_a(mn) =

log_am + log_an

log_am - log_an

r log_am

log_p m/log_pn

21 / 35

If a, m and n are positive integers and a ≠ 1, then log_a(m/n) =?

log_am - log_an

log_p m/log_pn

r log_am

log_am + log_an

22 / 35

If a and m are positive numbers, a ≠ 1 and r is a real number, then log_am^r =?

r log_am

log_p m/log_pn

1/log_mn

log_am - log_an

23 / 35

If m, n and p are positive numbers and n ≠ 1, p ≠ 1, then; Log_nm =?

log_p m/log_pn

r log_am

log_am - log_an

1/log_mn

24 / 35

If m and n are the positive numbers other than 1, then log_nm =?

1/log_mn

log_p m/log_pn

r log_am

log_am - log_an

25 / 35

e^{ln n}=?

∞

26 / 35

Find the value of log₁₀100.

27 / 35

Find the value of log₃(1/9).

-2

-3

-1

28 / 35

Find the value of log_√381.

29 / 35

What is the log of 5√5 to the base of 5?

3/2

1/2

5/2

3/4

30 / 35

If the log of 400 is 4, then what is the base of the log?

2√5

8√5

3√5

5√5

31 / 35

The logarithms having a base '10' are called -

Common logarithms

Natural logarithms

Pure logarithms

Infinite logarithms

32 / 35

The relation x = log_an implies

a^x = n

aⁿ = x

n^x = a

x^a = n

33 / 35

Solve the equation: log_x324 = 4.

3√2

√2

2√2

5√2

34 / 35

If log_xy = 100 and log₂x = 10, then the value of y is:

2¹⁰⁰⁰

2¹⁰

2¹⁰⁰

2¹⁰⁰⁰⁰

35 / 35

log₁₀1 =?

Can't determine

Infinity

Please enter the required information and tap on the "See Result" button to view your results. Don't worry! Your information will be safe. For details check our Privacy Policy.

Your score is

The average score is 0%

Please give a rating and share it with your friends.

Leave a Comment Cancel Reply