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What is the base of the logarithm if log_10(100) = 2?
Practice Questions
Q1
What is the base of the logarithm if log_10(100) = 2?
2
10
100
1
Questions & Step-by-Step Solutions
What is the base of the logarithm if log_10(100) = 2?
Steps
Concepts
Step 1: Understand what log_10(100) means. It means 'to what power do we raise 10 to get 100?'
Step 2: The equation log_10(100) = 2 tells us that 10 raised to the power of 2 equals 100.
Step 3: Write the equation in exponential form: 10^2 = 100.
Step 4: Since we see that 10 raised to the power of 2 equals 100, we confirm that the base of the logarithm is 10.
No concepts available.
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