Which of the following statements is not correct?
- (a) log₁₀ 10 = 1
- (b) log(2 + 3) = log(2 × 3)
- (c) log₁₀ 1 = 0
- (d) log(1 + 2 + 3) = log 1 + log 2 + log 3
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If log 2 = 0.3010 and log 3 = 0.4771, the value of log 512 is:
- (a) 2.870
- (b) 2.967
- (c) 3.876
- (d) 3.912
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log √8 / log 8 is equal to:
- (a) 1 / √2
- (b) 1 / 2
- (c) 2
- (d) 1
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If log 27 = 1.431, then the value of log 9 is:
- (a) 0.954
- (b) 0.945
- (c) 0.958
- (d) 0.954
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If log a/b + log b/a = log (a + b), then:
- (a) a + b = 1
- (b) a – b = 1
- (c) a = b
- (d) a² – b² = 1
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If log₁₀ 7 = a, then log₁₀ (1/70) + a is equal to:
- (a) – (1 + a)
- (b) (1 + a)-¹
- (c) a/10
- (d) 1/10a
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If log₁₀ 2 = 0.3010, then log₂ 10 is equal to:
- (a) 699/301
- (b) 301
- (c) 0.3010
- (d) 0.6990
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If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is:
- (a) 1.6020
- (b) 1.9030
- (c) 3.9030
- (d) None of these
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If log₁₀ 5 + log₁₀ (5x + 1) = log₁₀ (x + 5) + 1, then x is equal to:
- (a) 1
- (b) 3
- (c) 5
- (d) 10
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The value of 1 + log₃ 60 / log₄ 60 / log₅ 60 is:
- (a) 0
- (b) 1
- (c) 5
- (d) 60
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If log 2 = 0.30103, the number of digits in 2⁶⁴ is:
- (a) 18
- (b) 19
- (c) 20
- (d) 21
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If logₓ (9/16) = 1/ -2, then x is equal to:
- (a)3/ -4
- (b) 3/4
- (c) 81/256
- (d) 256/81
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If ax = bʸ, then:
- (a) log a = log ay / log ax
- (b) log a / log b = x/y
- (c) log a / log b = y/x
- (d) None of these
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If logₓ y = 100 and log₂ x = 10, then the value of y is:
- (a) 2¹⁰
- (b) 2¹⁰⁰
- (c) 2¹⁰⁰⁰
- (d) 2¹⁰⁰⁰⁰
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The value of log₂ 16 is:
- (a) 1/8
- (b) 4
- (c) 8
- (d) 16
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