Lesson 6.3.1
6.3.1 Logarithms and the definition of log_a x Quiz: Pearson Edexcel Maths, Unit 6
20 questions
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Lesson 6.3.1, Logarithms and the definition of log_a x: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 6: Exponentials and logarithms, written with Revision Ninja.
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The 20 questions
-
What is the equivalent logarithmic form of the equation 2 to the power of 4 equals 16?
- log_16(2) = 4
- log_4(2) = 16
- log_2(4) = 16
- log_2(16) = 4
-
Rewrite the exponential equation a to the power of c equals b in logarithmic form.
- log_b(a) = c
- log_a(b) = c
- log_a(c) = b
- log_c(a) = b
-
Express the logarithmic equation log_3(81) = 4 in its equivalent index or exponential form.
- 3^81 = 4
- 4^3 = 81
- 3^4 = 81
- 81^3 = 4
-
What is the value of log_5(125)?
- 25
- 3
- 15
- 5
-
Evaluate log_10(10000).
- 3
- 1000
- 4
- 5
-
What is the exact value of log_7(1)?
- Undefined
- 1
- 7
- 0
-
Determine the exact value of log_9(9).
- 0
- 1
- 9
- 81
-
Solve for x if log_2(x) = 5.
- 10
- 32
- 64
- 25
-
Find the value of y given that log_y(64) = 3.
- 8
- 2
- 21
- 4
-
Solve the equation log_3(x) = -2 for x.
- -9
- 1/6
- 1/9
- -6
-
What is the base of a common logarithm?
- 1
- e
- 10
- 2
-
What is the base of a natural logarithm?
- 1
- 0
- 10
- e
-
Which numerical value cannot be the base of a valid logarithm?
- 10
- 2
- 0.5
- 1
-
What is the domain restriction for the argument x in log_a(x)?
- x != 0
- x is all reals
- x > 0
- x >= 0
-
Evaluate 2 raised to the power of log_2(8).
- 4
- 16
- 8
- 2
-
Simplify log_a(a^k) completely.
- 1
- a^k
- k
- a
-
Solve for n in the equation 4^n = 10 using logarithms.
- 10^4
- log_10(4)
- log_4(10)
- 4^10
-
If log_x(81) = 2, what is the positive value of x?
- 81
- 9
- 3
- 40.5
-
Evaluate log_16(4) without a calculator.
- 4
- 0.25
- 2
- 0.5
-
What is the exact value of log_root2(4)?
- 4
- 8
- 2
- 0.5
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