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What is the solution to the equation 2^x = 16?

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Question: What is the solution to the equation 2^x = 16?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 3

Solution: 

2^x = 2^4, so x = 4.

What is the solution to the equation 2^x = 16?

Practice Questions

Q1
What is the solution to the equation 2^x = 16?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

What is the solution to the equation 2^x = 16?
  • Step 1: Understand the equation 2^x = 16.
  • Step 2: Recognize that 16 can be written as a power of 2.
  • Step 3: Write 16 as 2 raised to a power: 16 = 2^4.
  • Step 4: Now the equation looks like this: 2^x = 2^4.
  • Step 5: Since the bases (2) are the same, we can set the exponents equal to each other: x = 4.
  • Step 6: Therefore, the solution to the equation is x = 4.
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