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If 2^(x) = 16, what is the value of x?

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Question: If 2^(x) = 16, what is the value of x?

Options:

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

Correct Answer: 4

Solution: 

16 = 2^(4), so x = 4.

If 2^(x) = 16, what is the value of x?

Practice Questions

Q1
If 2^(x) = 16, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If 2^(x) = 16, what is the value of x?
Correct Answer: 4
  • 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^(4) because 2 multiplied by itself 4 times equals 16.
  • 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.
  • Exponential Equations – Understanding how to solve equations where the variable is an exponent.
  • Base Conversion – Recognizing that 16 can be expressed as a power of 2.
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