Question types

Logarithms question types

176 questions across 4 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.

176
Questions
4
Question groups
5
Question types
Sample Questions

Logarithms questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 11[4 marks sum]4 Marks
Express $\log _{10}\left(\frac{\sqrt{p q^3}}{r^2 s}\right)$ in terms of $\log _{10} p, \log _{10} q, \log _{10} r$ and $\log _{10} 8$.
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Q 16MCQ1 Mark
Assertion (A) : $\log (2+3+4)=\log 2+\log 3+\log 4$
Reason (R) : $\log _x x=0$.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • Both A and R are false.

Answer: D.

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Q 17MCQ1 Mark
Assertion (A) : If $\log _x \frac{1}{8}=-\frac{1}{3}$, then the value of $x$ is 2.
Reason (R) : If $n^x=m$, then $\log _n m=x$.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • Both A and R are true
  • D
    Both A and R are false.

Answer: C.

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Q 18MCQ1 Mark
If $\log _{10} 2=0.3010$ and $\log _{10} 3=0.4771$, then the value of $\log _{10} 72=$
  • 1.8572
  • B
    0.8572
  • C
    0.5872
  • D
    1.5872

Answer: A.

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