1. The value of log₆ log₅ 15625 is ?

1. 1. 1

   
   
   

   2. 2

   
   
   

   3. 3

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   log₆ log₅15625 = log₆ log₅(5)⁶
   

   Correct Option: A

   log₆ log₅15625 = log₆ log₅(5)⁶
   = log₆6(log₅5) = 1

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2. 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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3. The value of log₁₀ (0.00001) is ?

1. 1. - 5

   
   
   

   2. - 6

   
   
   

   3. - 7

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Exp. = log₁₀ 10^-5 = -5
   

   Correct Option: A

   Exp. = log₁₀ 10^-5 = -5
   

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4. The value of 25 log₅ 4 is ?

1. 1. 16

   
   
   

   2. 5

   
   
   

   3. 25

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   Exp. = 25 log₅4 = 5² log₅4
   = 5 log₅ 4²

   Correct Option: A

   Exp. = 25 log₅4 = 5² log₅4
   = 5 log₅ 4²
   = 16
   

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5. If log₁₀₀₀₀x = -1/4, then x is ?

1. 1. 1 / 100

   
   
   

   2. 1 / 10

   
   
   

   3. 1 / 20

   
   
   

   4. None of these

   
   
   

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1. View Hint View Answer Discuss in Forum

   ∵ log₁₀⁴x = -1/4
   ⇒ x = (10⁴)^-1/4
   = 1/10
   

   Correct Option: B

   ∵ log₁₀⁴x = -1/4
   ⇒ x = (10⁴)^-1/4
   = 1/10
   

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