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What is the value of log2(1/8)?
What is the value of log2(1/8)?
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What is the value of log2(1/8)?
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1/8 = 2^-3, so log2(1/8) = -3.
Questions & Step-by-step Solutions
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Q: What is the value of log2(1/8)?
Solution:
1/8 = 2^-3, so log2(1/8) = -3.
Steps: 6
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Step 1: Understand that log2(x) means 'to what power do we raise 2 to get x'.
Step 2: Rewrite 1/8 as a fraction: 1/8 = 1 ÷ 8.
Step 3: Recognize that 8 can be written as a power of 2: 8 = 2^3.
Step 4: Therefore, 1/8 can be rewritten as 1/(2^3) = 2^-3.
Step 5: Now, we can find log2(1/8) by substituting: log2(1/8) = log2(2^-3).
Step 6: Using the property of logarithms, log2(2^x) = x, we find log2(2^-3) = -3.
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