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What is the solution to the equation 2^x = 32?

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Question: What is the solution to the equation 2^x = 32?

Options:

  1. 4
  2. 5
  3. 6
  4. 3

Correct Answer: 5

Solution: 

Since 32 = 2^5, we have x = 5.

What is the solution to the equation 2^x = 32?

Practice Questions

Q1
What is the solution to the equation 2^x = 32?
  1. 4
  2. 5
  3. 6
  4. 3

Questions & Step-by-Step Solutions

What is the solution to the equation 2^x = 32?
  • Step 1: Understand the equation 2^x = 32. This means 2 raised to the power of x equals 32.
  • Step 2: Recognize that 32 can be expressed as a power of 2. We need to find out what power of 2 equals 32.
  • Step 3: Calculate the powers of 2: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, and 2^5 = 32.
  • Step 4: Since 32 equals 2^5, we can replace 32 in the original equation with 2^5.
  • Step 5: Now the equation looks like this: 2^x = 2^5.
  • Step 6: Since the bases (2) are the same, we can set the exponents equal to each other: x = 5.
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