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Class 9 Math Chapter 2: Logarithms MCQs With Explanations

Practice Class 9 Math Chapter 2: Logarithms MCQs with explanations for Pakistani board exams. Includes solved objective questions, answer checking, chapter revision guidance and next chapter suggestions.

MCQs / Class 9 / Math / Chapter 2: Logarithms
15 MCQs

Chapter 2: Logarithms Objective Preparation

Use this page for direct chapter practice, answer checking and explanation review. It is available through the clean URL shown in the browser, so students can bookmark and share this exact chapter.

15Total MCQs
15With explanations
3Topics represented

Topics found: Logarithms, Exponents, Scientific Notation

Logarithms MCQs With Explanations

Q1. Characteristic of log(0.0045) is:
The characteristic of log(0.0045) is -3 because 0.0045 = 4.5 × 10⁻³, and the characteristic is the exponent of 10 in scientific notation.
Q2. 5⁻³ ÷ 5² = ?
Using exponent rules: 5⁻³ ÷ 5² = 5⁻³⁻² = 5⁻⁵.
Q3. log₂(−64) = ?
Logarithms of negative numbers are undefined in real numbers, so log₂(−64) has no real value.
Q4. Common logarithm means a logarithm with base:
The common logarithm is defined as the logarithm with base 10.
Q5. Common antilogarithm of a number x is determined by:
The common antilogarithm is the inverse of the common logarithm (base 10), so antilog(x) = 10ˣ.
Q6. log(9) − log(1/3) = ?
log(9) − log(1/3) = log(9 ÷ 1/3) = log(27).
Q7. log 48 = ?
log 48 = log(16 × 3) = log(2⁴ × 3) = 4 log 2 + log 3.
Q8. 2ˣ = 4
2² = 4, so x = 2 satisfies the equation.
Q9. log 0 =
Logarithm of zero is undefined because no power of a positive base equals zero.
Q10. 6.23 × 10⁻⁴ =
6.23 × 10⁻⁴ shifts the decimal four places left: 0.000623.
Q11. In scientific notation, if the number is less than 1 then n is:
Numbers less than 1 require a negative exponent in scientific notation to represent small values.
Q12. log 10,000 =
10⁴ = 10,000, so log₁₀(10,000) = 4.
Q13. The base of common logarithm is:
Common logarithms use base 10 by definition.
Q14. Scientific notation of 0.0034 is:
0.0034 = 3.4 × 10⁻³, which matches option B.
Q15. In scientific notation, if we move decimal to the left, the exponent is:
Moving the decimal to the left increases the exponent's magnitude in the positive direction to maintain the original value, so the exponent is positive.

After Chapter 2: Logarithms, Practice Next Chapters

Once you finish these MCQs, continue with the next available chapters from Math so your revision stays chapter-wise and complete.

Chapter 2: Logarithms Revision Guide

Complete the MCQs first, then review every incorrect answer against the textbook heading where that concept appears. For biology and other science subjects, pay attention to terminology, diagrams, sequence of processes, examples and differences between similar structures or functions.

This chapter page keeps the exact class, subject, chapter, question count, answer checking, explanations and follow-up chapters together, so students can revise from one focused URL instead of searching through the full book again.

Class 9 Mathematics MCQ Preparation: Logarithms

This page supports Matric Part 1 practice in Mathematics. At this stage, the main purpose is building the definitions, symbols, rules and study habits needed for later matric work. The questions available here should be used with the current textbook and the instructions issued by the learner's school or examination board.

What Mathematics MCQs can test

In Mathematics, objective questions commonly draw on definitions, formulas, identities, properties, signs, graphs, theorem statements and short calculations. A useful answer is based on the exact wording and concept, not simply on recognising a familiar option. For this subject, learners should identify the rule being tested, perform the essential working separately and check signs, restrictions and units before selecting an option.

Logarithms: focused MCQ revision

This chapter should be reviewed through its main definitions, examples, diagrams, comparisons and links with earlier Mathematics concepts.

Write a one-sentence reason for each corrected answer and note the textbook heading where the concept is explained.

Common mistakes for Class 9 learners

In this subject, frequent errors include sign mistakes, using a formula outside its conditions, confusing similar properties or selecting an answer from mental arithmetic without verification. Separate new terms that look similar and connect every formula, rule or definition with at least one textbook example. When the page marks an answer as incorrect, the next step should be to identify the mistaken idea and verify it, rather than memorising the displayed answer letter.

A practical revision routine

Read a small textbook section, answer a focused set of MCQs and correct the underlying idea before starting the next section. Before attempting the MCQs, review formulas, identities, definitions, graph behavior, theorem conditions and representative solved examples. Complete a manageable set without notes, check the result, and divide errors into missing knowledge, misunderstood concepts and careless reading. Revise the appropriate section before repeating the chapter.

How to review Logarithms after the quiz

List the questions you missed from Logarithms and write the textbook heading connected with each one. Explain the correct idea in your own words, then return later and answer a fresh set. This gives the chapter page a clear purpose: finding specific weaknesses in Mathematics rather than only collecting a score.

Accuracy and responsible use

Explanations are provided where they exist in the question bank, but educational databases can contain incomplete or mistaken material. Confirm disputed answers with an authoritative textbook or teacher. Ahmad Learning Hub provides a practice resource and does not claim that a question will appear in an examination or that every available item represents an official board question.