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34 questions · timed · auto-graded

MCQ 11 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
Correct option: D.
Both A and R are false.
D
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MCQ 21 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
Correct option: C.
Both A and R are true
C
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MCQ 31 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
Correct option: A.
1.8572
A
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MCQ 111 Mark
The value of $\log 0.0001$ to the base 0.1 is :
  • 4
  • B
    3
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
4
A
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MCQ 121 Mark
$\log \left(\begin{array}{lll}1 & 2 & 3\end{array}\right)=$
  • A
    $\log 5$
  • B
    $\log 1 \quad \log 2 \quad \log 3$
  • $\log 1+\log 2+\log 3$
  • D
    $\log 9$
Answer
Correct option: C.
$\log 1+\log 2+\log 3$
C
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MCQ 161 Mark
The relation $\log _3 243=5$ in exponential form is :
  • A
    $5^3=243$
  • $3^5=243$
  • C
    $243^{\frac{1}{3}}=5$
  • D
    $243^3=5$
Answer
Correct option: B.
$3^5=243$
B
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MCQ 171 Mark
The relation $\sqrt[3]{64}=4$ in logarithmic form is :
  • A
    $\log _{64} 4=3$
  • B
    $\log _4 64=\frac{1}{3}$
  • $\log _{64} 4=\frac{1}{3}$
  • D
    $\log _{64} \frac{1}{3}=4$
Answer
Correct option: C.
$\log _{64} 4=\frac{1}{3}$
C
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MCQ 181 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
Correct option: D.
Both A and R are false.
D
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MCQ 191 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
Correct option: C.
Both A and R are true
C
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MCQ 201 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
Correct option: A.
1.8572
A
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MCQ 281 Mark
The value of $\log 0.0001$ to the base 0.1 is :
  • 4
  • B
    3
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{3}$
Answer
Correct option: A.
4
A
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MCQ 291 Mark
$\log (1 \times 2 \times 3)=$
  • A
    $\log 5$
  • B
    $\log 1 \times \log 2 \times \log 3$
  • $\log 1+\log 2+\log 3$
  • D
    $\log 9$
Answer
Correct option: C.
$\log 1+\log 2+\log 3$
C
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MCQ 331 Mark
The relation $\log _3 243=5$ in exponential form is :
  • A
    $5^3=243$
  • $3^5=243$
  • C
    $243^{\frac{1}{3}}=5$
  • D
    $243^3=5$
Answer
Correct option: B.
$3^5=243$
B
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MCQ 341 Mark
The relation $\sqrt[3]{64}=4$ in logarithmic form is:
  • $\log _{64} 4=3$
  • B
    $\log _4 64=\frac{1}{3}$
  • C
    $\log _{64} 4=\frac{1}{3}$
  • D
    $\log _{64} \frac{1}{3}=4$
Answer
Correct option: A.
$\log _{64} 4=3$
A
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MCQ - MATHEMATICS STD 9 Questions - Vidyadip