6. The value of log₁₀ 0.000001 is ?

1. 1. 6

   
   
   

   2. - 6

   
   
   

   3. 5

   
   
   

   4. - 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   Exp. = log₁₀ 10^-6 = -6
   

   Correct Option: B

   Exp. = log₁₀ 10^-6 = -6
   

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7. log_-1/3 81 is equal to ?

1. 1. - 27

   
   
   

   2. - 4

   
   
   

   3. 4

   
   
   

   4. 127

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let log_-1/381 = x
   ⇒ 81 = (-1/3)^x
   ⇒ 3⁴ = (-1/3)^x = 3^-x

   Correct Option: C

   Let log_-1/381 = x
   ⇒ 81 = (-1/3)^x
   ⇒ 3⁴ = (-1/3)^x = 3^-x
   ∴ x = -4
   

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8. log₁₀10 + log₁₀100 + log₁₀1000 + log₁₀10000 + log₁₀100000 is equal to ?

1. 1. 15

   
   
   

   2. log 11111

   
   
   

   3. log₁₀¹¹¹¹

   
   
   

   4. 14 log₁₀ 100

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given Exp. = log₁₀10 + log₁₀100 + log₁₀1000 + log₁₀10000 + log₁₀100000
   = 1 + 2 + 3 + 4 + 5

   Correct Option: A

   Given Exp. = log₁₀10 + log₁₀100 + log₁₀1000 + log₁₀10000 + log₁₀100000
   = 1 + 2 + 3 + 4 + 5
   = 15
   

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9. log₁₀x + log₁₀y = z, then x is equal to ?

1. 1. z / y

   
   
   

   2. 10 / z

   
   
   

   3. 10² / x

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   log₁₀xy = z
   ⇒ xy = 10^z
   

   Correct Option: D

   log₁₀xy = z
   ⇒ xy = 10^z
   ⇒ x = 10^z/y
   

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10. The value of log₂ (1/64) is ?

1. 1. 6

   
   
   

   2. - 6

   
   
   

   3. 7

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   log₂(1/64) = log₂1 - log₂ 2⁶
   
   

   Correct Option: B

   log₂(1/64) = log₂1 - log₂ 2⁶
   = 0 - 6 = -6
   

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