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Find the value of log2(8).
Find the value of log2(8).
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Practice Questions
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Q1
Find the value of log2(8).
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log2(8) = log2(2^3) = 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the value of log2(8).
Solution:
log2(8) = log2(2^3) = 3.
Steps: 6
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Step 1: Understand what log2(8) means. It asks, 'To what power do we raise 2 to get 8?'
Step 2: Rewrite 8 as a power of 2. We know that 8 is the same as 2 raised to the power of 3 (because 2 * 2 * 2 = 8).
Step 3: Substitute 8 in the logarithm with 2^3. So, log2(8) becomes log2(2^3).
Step 4: Use the property of logarithms that says logb(b^x) = x. Here, b is 2 and x is 3.
Step 5: Apply the property: log2(2^3) = 3.
Step 6: Conclude that log2(8) = 3.
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