Alerts Wishlist Cart

If 5^(x-1) = 25, what is the value of x?

Practice Questions

Q1
If 5^(x-1) = 25, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 1

Questions & Step-by-Step Solutions

If 5^(x-1) = 25, what is the value of x?
  • Step 1: Start with the equation 5^(x-1) = 25.
  • Step 2: Recognize that 25 can be rewritten as 5^2.
  • Step 3: Replace 25 in the equation with 5^2, so now we have 5^(x-1) = 5^2.
  • Step 4: Since the bases (5) are the same, we can set the exponents equal to each other: x - 1 = 2.
  • Step 5: Solve for x by adding 1 to both sides of the equation: x = 2 + 1.
  • Step 6: Therefore, x = 3.
  • Exponential Equations – The question tests the ability to solve equations involving exponents by equating the bases.
  • Base Conversion – It requires recognizing that 25 can be expressed as a power of 5.
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