Question #6451905Fill in the Blank
Algebra-2
Question
For the function , when , the value of is ______.
Answer & Analysis
Analysis
Question Analysis
This question involves finding the value of the common logarithm function at a specific x-value.
The main focus is on converting the logarithmic expression to its exponential form to calculate the result.
Key Concept Explanation
The common logarithm (often written as ) has a base of 10.
By definition:
If , then (exponential form).
To find when , we need to find what power of 10 equals 100.
Step-by-Step Solution
1. Write the function with the given x-value: .
2. Let . Convert to exponential form: .
3. Recall powers of 10:
This question involves finding the value of the common logarithm function at a specific x-value.
The main focus is on converting the logarithmic expression to its exponential form to calculate the result.
Key Concept Explanation
The common logarithm (often written as ) has a base of 10.
By definition:
If , then (exponential form).
To find when , we need to find what power of 10 equals 100.
Step-by-Step Solution
1. Write the function with the given x-value: .
2. Let . Convert to exponential form: .
3. Recall powers of 10:
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