Alerts Wishlist Cart

What is the base of the logarithm if log_b(1) = 0?

Practice Questions

Q1
What is the base of the logarithm if log_b(1) = 0?
  1. Any positive number
  2. 1
  3. 0
  4. Undefined

Questions & Step-by-Step Solutions

What is the base of the logarithm if log_b(1) = 0?
  • Step 1: Understand what a logarithm is. A logarithm log_b(x) answers the question: 'To what power must we raise b to get x?'
  • Step 2: In the equation log_b(1) = 0, we are trying to find the base b such that when we raise b to the power of 0, we get 1.
  • Step 3: Recall the property of exponents: any number raised to the power of 0 equals 1. This means b^0 = 1 for any base b that is greater than 0.
  • Step 4: Since log_b(1) = 0 holds true for any base b > 0, we conclude that the base of the logarithm can be any positive number.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely