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What is the value of log_3(27) - log_3(9)?
What is the value of log_3(27) - log_3(9)?
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What is the value of log_3(27) - log_3(9)?
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log_3(27) = 3 and log_3(9) = 2. Therefore, 3 - 2 = 1.
Questions & Step-by-step Solutions
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Q: What is the value of log_3(27) - log_3(9)?
Solution:
log_3(27) = 3 and log_3(9) = 2. Therefore, 3 - 2 = 1.
Steps: 5
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Step 1: Identify the logarithm base, which is 3 in this case.
Step 2: Calculate log_3(27). Since 27 is 3 raised to the power of 3 (3^3), log_3(27) = 3.
Step 3: Calculate log_3(9). Since 9 is 3 raised to the power of 2 (3^2), log_3(9) = 2.
Step 4: Subtract the two results: 3 (from log_3(27)) - 2 (from log_3(9)).
Step 5: The final result is 1.
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