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The number log₂ 7 is
- a)An integer
- b)A rational number
- c)An irrational number
- d)A prime number
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The number log 7 isa)An integerb)A rational numberc)An irrational numb...
Explanation:
Logarithm of 7:
- The number log 7 is an irrational number.
Definition of an Irrational Number:
- An irrational number is a number that cannot be expressed as a simple fraction.
- Irrational numbers are non-repeating, non-terminating decimals.
Logarithmic Function:
- The logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number.
- In the case of log 7, it represents the exponent to which the base (usually 10) must be raised to obtain 7.
Log 7 as an Irrational Number:
- The logarithm of 7 cannot be expressed as a simple fraction or a terminating decimal.
- Since the value of log 7 is approximately 0.8451, it is a non-repeating, non-terminating decimal.
- Therefore, log 7 is classified as an irrational number.
Conclusion:
- In summary, the number log 7 is an irrational number because it cannot be represented as a simple fraction or a terminating decimal.
Logarithm of 7:
- The number log 7 is an irrational number.
Definition of an Irrational Number:
- An irrational number is a number that cannot be expressed as a simple fraction.
- Irrational numbers are non-repeating, non-terminating decimals.
Logarithmic Function:
- The logarithm of a number is the exponent to which another fixed number, the base, must be raised to produce that number.
- In the case of log 7, it represents the exponent to which the base (usually 10) must be raised to obtain 7.
Log 7 as an Irrational Number:
- The logarithm of 7 cannot be expressed as a simple fraction or a terminating decimal.
- Since the value of log 7 is approximately 0.8451, it is a non-repeating, non-terminating decimal.
- Therefore, log 7 is classified as an irrational number.
Conclusion:
- In summary, the number log 7 is an irrational number because it cannot be represented as a simple fraction or a terminating decimal.
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Community Answer
The number log 7 isa)An integerb)A rational numberc)An irrational numb...
Lets assume that √7 is rational number. ie √7=p/q. we divide by the common factor to get √7 = a/b were a and b are co-prime number. that is a and b have no common factor.
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The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer?.
The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number log 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer?.
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