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If log_2(8) = x, what is the value of x?

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Question: If log_2(8) = x, what is the value of x?

Options:

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Correct Answer: 3

Solution: 

Since 8 is 2^3, log_2(8) equals 3.

If log_2(8) = x, what is the value of x?

Practice Questions

Q1
If log_2(8) = x, what is the value of x?
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Questions & Step-by-Step Solutions

If log_2(8) = x, what is the value of x?
  • Step 1: Understand that log_2(8) means 'to what power do we raise 2 to get 8?'
  • Step 2: Rewrite 8 as a power of 2. We know that 8 = 2^3.
  • Step 3: Now we can say that log_2(8) = log_2(2^3).
  • Step 4: According to the properties of logarithms, log_b(b^a) = a. So, log_2(2^3) = 3.
  • Step 5: Therefore, x = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to express a number as a power of a base.
  • Base of Logarithm – Recognizing the base of the logarithm (in this case, base 2) and how it affects the calculation.
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