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What is the value of log_5(25) - log_5(5)?
What is the value of log_5(25) - log_5(5)?
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What is the value of log_5(25) - log_5(5)?
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log_5(25) = 2 and log_5(5) = 1. Therefore, 2 - 1 = 1.
Questions & Step-by-step Solutions
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Q
Q: What is the value of log_5(25) - log_5(5)?
Solution:
log_5(25) = 2 and log_5(5) = 1. Therefore, 2 - 1 = 1.
Steps: 6
Show Steps
Step 1: Understand that log_5(25) means 'to what power do we raise 5 to get 25?'.
Step 2: Since 5^2 = 25, we find that log_5(25) = 2.
Step 3: Now, understand that log_5(5) means 'to what power do we raise 5 to get 5?'.
Step 4: Since 5^1 = 5, we find that log_5(5) = 1.
Step 5: Now, we subtract the two results: 2 - 1.
Step 6: Calculate the result: 2 - 1 = 1.
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