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What is the value of log_2(32) - log_2(8)?
What is the value of log_2(32) - log_2(8)?
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Q1
What is the value of log_2(32) - log_2(8)?
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log_2(32) = 5 and log_2(8) = 3. Therefore, 5 - 3 = 2.
Questions & Step-by-step Solutions
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Q
Q: What is the value of log_2(32) - log_2(8)?
Solution:
log_2(32) = 5 and log_2(8) = 3. Therefore, 5 - 3 = 2.
Steps: 7
Show Steps
Step 1: Understand that log_2(32) means 'to what power do we raise 2 to get 32?'
Step 2: Calculate log_2(32). Since 2^5 = 32, we find that log_2(32) = 5.
Step 3: Now, understand that log_2(8) means 'to what power do we raise 2 to get 8?'
Step 4: Calculate log_2(8). Since 2^3 = 8, we find that log_2(8) = 3.
Step 5: Now, subtract the two results: 5 - 3.
Step 6: Calculate the subtraction: 5 - 3 = 2.
Step 7: The final answer is 2.
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