Question #6451922Fill in the Blank
Algebra-2
Question
The graph of will pass through the point ______.
Answer & Analysis
Analysis
Question Analysis
This question involves finding the y-value of a point on the common logarithm function when the x-value is 1,000.
The main focus is on recognizing that 1,000 is a power of 10 and using the logarithmic property to find the function value.
This question involves finding the y-value of a point on the common logarithm function when the x-value is 1,000.
The main focus is on recognizing that 1,000 is a power of 10 and using the logarithmic property to find the function value.
Key Concept Explanation
The common logarithm has a base of 10. For any power of 10 (e.g., ), the value of is equal to the exponent in the power of 10.
The common logarithm has a base of 10. For any power of 10 (e.g., ), the value of is equal to the exponent in the power of 10.
Step-by-step Solution
1. Identify the x-value: .
2. Rewrite 1,000 as a power of 10:
1. Identify the x-value: .
2. Rewrite 1,000 as a power of 10:
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