Logarithms and indices sample MCQ question

Now that you have refreshed your memories on what log and indices are all about, let’s see how you tackle the following MCQ questions.

SECTION A: Logarithms

1)  The value of log₅625 is

A: 25

B: 5

C: 4

D: 3

2)  y = 3^x when written in log form is?

A: log_yx = 3

B: log₃x = y

C: log_x3 = y

D: log₃y = x

3) The value of log 0.001 is

A: 3

B: -3

C: 2

D: -2

4)  3log2 + log200 – log16 when evaluated is

A: 2

B: 3

C: 25

D: 75

5) Given that log8 = 0.9030, then log √2 is

A: 0.3010

B: 0.4515

C: 0.1505

D: 0.2150

6) The value of  (log16 – log2)/(log2 + log1) is

A:  4

B: log14/log3

C:  3

D: log8/log3

7) The value of 2log₉9 is

A: 1

B:  0

C: 81

D: 2

8) The value of log√2 is

A:  1

B: 0

C: 1/√2

D:  (√2)²

9) Given that log5 = h and log3 = K, then log45 is

A: h + x

B: 3h + k

C: h + 2k

D: h – k

10) The value of x in log₂(4x + 8) = 2 is

A: 2

B: -4

C: 3

D: -1

SECTION B: Indices

1)  Give that aⁿ x a^m = x, then x in index form is

A: a^nm

B: a^n-m

C: a^n+m

D:  a^n/m

2)  The value of 9^x x 3^x / 27^x is:

A: 0

B:1

C: 2

D: 3

3) The value of (0.003 X 500000)⁰ is

A: 0

B: 1

C: 1500

D: 300

4)  (5125 x 8)^2/3 when simplified is

A: 1000

B: 1

C: 100

D: 300

5) Given that 8^x = 128, then the value of ^x is

A: 7/3

B: 16

C: 3

D: 8/3

6) The values of  x and y that satisfy the equations 8^4+x = 2^1-y and 3^x+1 = 9^-y are respectively

A:  4, 2

B: 1, -2

C:  3, -2

D: 5, – 1

7) If 2^2x = 32^x+1, the value of x is

A: 1

B:  5

C: -3/7

D: -5/3

8) The value of  x in the equation 3^x = 7 is?

A:  7/3

B: log7/log3

C: 3/7

D:  log3/log7

9) (27x²)^-3 / (81x³)^-2 when simplified is

A: 2

B: 3

C: 1/2

D: 1/3

10) (625/400)^-1/2 when simplified gives

A: 64/125

B: 5/4

C: 125/64

D: 4/5

Related posts:

Stroke and Transient ischemic attack (TIA): What’s the difference?

Stroke and Transient ischemic attack (TIA): What's the difference? Many of us are familiar with a "Stroke" but what about the TIA? is it ...

Download IB Extended Essay Exemplars Group 4 Sciences Biology FRENCH Notes PDF

Download IB Extended Essay Exemplars Group 4 Sciences Biology FRENCH Notes PDF. These notes should serve as a study resource as you prepare for ...

Distance learning in Cameroon: Which platform to use?

Distance learning in Cameroon, an initiative by the Cameroon government to improve studies for student preparing for the upcoming exams. It's been a while ...

Using National Income Figures To Compare Living Standards | Between Countries: some Qualifications

Using National Income Figures To Compare Living Standards | Between Countries: some Qualifications. Fairly accurate comparisons of the national incomes of different countries are ...

Zambian ECZ Grade 12 GCSE Biology lesson notes

Free download Zambian ECZ Grade 12 GCSE Biology lesson notes by B.F.J revised edition. This book should come in handy if you are preparing ...