Alerts Wishlist Cart

If 4^(x-1) = 64, what is the value of x?

Practice Questions

Q1
If 4^(x-1) = 64, what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If 4^(x-1) = 64, what is the value of x?
  • Step 1: Start with the equation 4^(x-1) = 64.
  • Step 2: Recognize that 64 can be rewritten as a power of 4. Specifically, 64 = 4^3.
  • Step 3: Now rewrite the equation using this information: 4^(x-1) = 4^3.
  • Step 4: Since the bases (4) are the same, we can set the exponents equal to each other: x - 1 = 3.
  • Step 5: Solve for x by adding 1 to both sides of the equation: x = 3 + 1.
  • Step 6: Therefore, x = 4.
  • Exponential Equations – The question tests the ability to solve equations involving exponents by equating the bases.
  • Base Conversion – It requires recognizing that 64 can be expressed as a power of 4, which is essential for solving the equation.
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