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If log_10(x) = 2, what is the value of x?
Practice Questions
Q1
If log_10(x) = 2, what is the value of x?
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Questions & Step-by-Step Solutions
If log_10(x) = 2, what is the value of x?
Correct Answer: 100
Steps
Concepts
Step 1: Understand that log_10(x) means 'the power to which 10 must be raised to get x'.
Step 2: The equation log_10(x) = 2 means that 10 must be raised to the power of 2 to get x.
Step 3: Rewrite the equation in exponential form: x = 10^2.
Step 4: Calculate 10^2, which is 10 multiplied by itself (10 * 10).
Step 5: The result of 10 * 10 is 100, so x = 100.
Logarithms
– Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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