Lesson 1.06c
1.06c Logarithms Quiz: OCR Maths, Unit 6
20 questions
In partnership with Revision Ninja
Lesson 1.06c, Logarithms: 20 multiple choice questions for the OCR Maths (H240), Unit 6: Exponentials and Logarithms, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
Which statement is the logarithmic form of 2^5 = 32?
- log_32 2 = 5
- log_2 32 = 5
- log_2 5 = 32
- log_5 32 = 2
-
What is the value of log_a a for a positive, a not 1?
- a
- 0
- -1
- 1
-
What is the value of log_7 1?
- 7
- 1
- -1
- 0
-
What is the value of ln e?
- -1
- 0
- e
- 1
-
Which law applies to log_a x + log_a y?
- log_a(xy)
- log_a(x + y)
- log_a(x/y)
- (log_a x)(log_a y)
-
Which expression equals k log_a x?
- log_a(x)/k
- (log_a x)^k
- log_a(kx)
- log_a(x^k)
-
What is ln(e^3)?
- 3
- ln 3
- 1
- e^3
-
Evaluate log_2 8.
- 8
- 3
- 2
- 4
-
Evaluate log_10 0.001.
- -0.3
- 3
- -1/3
- -3
-
Simplify log_3 18 - log_3 2.
- log_3 16
- 2
- log_3 20
- 8
-
Solve log_2 x + log_2 (x + 2) = 3 for x > 0.
- x = 2 or x = -4
- x = 4
- x = -4
- x = 2
-
Write 3 ln 2 + ln 5 as a single logarithm.
- ln 13
- ln 10
- ln 40
- ln 15
-
Evaluate log_5 125.
- 5
- 1/3
- 25
- 3
-
To 3 decimal places, what is log_10 2?
- 0.301
- 0.693
- 0.500
- 0.200
-
If log_10 x = 3, what is x?
- 1000
- 300
- 6
- 30
-
How many real solutions exist for the logarithmic equation 2 log_3 x - log_3 (x - 4) = 2?
- Zero
- Infinite
- One
- Two
-
Make y the subject of ln y = 2x + 1.
- y = e^(2x + 1)
- y = 2x e
- y = ln(2x + 1)
- y = e^(2x) + 1
-
If log_2 a = 3 and log_2 b = 5, what is log_2(a^2 b)?
- 13
- 15
- 8
- 11
-
Evaluate ln(e^2 x sqrt(e)).
- 3
- 2.5
- 1.5
- 2
-
Given log_a 2 = p and log_a 3 = q, express log_a 36 in terms of p and q.
- p + q
- 2pq
- 2p + 2q
- p^2 + q^2
Related quizzes
- Exponential functions Quiz · 1.06a · 20 questions
- Solving exponential equations Quiz · 1.06g · 20 questions
- Reduction to linear form Quiz · 1.06h · 20 questions
- Exponential modelling Quiz · 1.06i · 20 questions
- Methods of proof Quiz · 1.01 · 20 questions
- Indices and surds Quiz · 1.02a · 20 questions
- Straight lines and circles Quiz · 1.03a · 20 questions
- Binomial expansion Quiz · 1.04a · 20 questions
- Trigonometric functions and triangles Quiz · 1.05a · 20 questions
- Gradients and second derivatives Quiz · 1.07a · 20 questions