Logarithms Questions and Answers – Change of Base – Set 2

This set of Aptitude Questions and Answers (MCQs) focuses on “Change of Base – Set 2”.

1. What would be the value of log₂₄₃3⁷ + log₃₂2⁸ – log₃₆1296?
a) 3
b) 2
c) 1
d) 7
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2. What will be the value of log₄32 – log₉27?
a) 1
b) 4
c) 16
d) 9
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3. What will be the value of log_{– 1 / 2}32?
a) 5
b) -5
c) 4
d) -4
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4. What will be the value of the expression log₁₆64 – log₆₄16?
a) 5 / 6
b) 6 / 5
c) 7 / 5
d) 6 / 7
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5. Which value of z would satisfy 10^z = 1.73 and log₁₀1730 = 3.2380?
a) 1.2380
b) 2.2380
c) 0.2380
d) 0.4567
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6. Which of the following options represent the correct value of log_xq / log_xyq?
a) 10 + log_yx
b) 5y + log_xy
c) 2 log_yx
d) 1 + log_xy
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7. What will be the value of 2log₁₀5 + log₁₀8 – (1 / 2) log₁₀4?
a) 2
b) 3
c) 4
d) 8
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8. What will be the value of m if, log₅ (m² + m) – log₅ (m + 1) = 2?
a) 16
b) 4
c) 25
d) 5
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9. What will be the value of log_2√31728?
a) 16
b) 6
c) 20
d) 8
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10. Which of the following options is correct if 3 + log₁₀a = 2 log₁₀b?
a) a = b² / 1000
b) a * b = 1000
c) a = b / 500
d) a = b³ / 100
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