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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 log₂ 7 isa)An integerb)A rational numberc)An irration...
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 log₂ 7 isa)An integerb)A rational numberc)An irration...
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 fraction of two integers and has a non-repeating, non-terminating decimal expansion. In other words, an irrational number cannot be written in the form p/q, where p and q are integers and q is not equal to 0.
Logarithm as an Irrational Number
The logarithm of a number is the exponent to which a base must be raised to produce that number. In the case of log 7, it represents the exponent to which a base (commonly 10 or e) must be raised to produce the number 7. Since 7 cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion, the logarithm of 7 is an irrational number.
Conclusion
In summary, the number log 7 is classified as an irrational number due to its inability to be expressed as a fraction and its non-repeating, non-terminating decimal expansion.
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 fraction of two integers and has a non-repeating, non-terminating decimal expansion. In other words, an irrational number cannot be written in the form p/q, where p and q are integers and q is not equal to 0.
Logarithm as an Irrational Number
The logarithm of a number is the exponent to which a base must be raised to produce that number. In the case of log 7, it represents the exponent to which a base (commonly 10 or e) must be raised to produce the number 7. Since 7 cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion, the logarithm of 7 is an irrational number.
Conclusion
In summary, the number log 7 is classified as an irrational number due to its inability to be expressed as a fraction and its non-repeating, non-terminating decimal expansion.
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The number log₂ 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 log₂ 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 log₂ 7 isa)An integerb)A rational numberc)An irrational numberd)A prime numberCorrect answer is option 'C'. Can you explain this answer?.
The number log₂ 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 log₂ 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 log₂ 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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