Write a logarithmic equation corresponding to the graph shown. Use f(x) = log4(x)as the parent function.
Write a logarithmic equation corresponding to the graph shown. Use f(x) = log4(x)as the parent function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Write a logarithmic equation corresponding to the graph shown.
Use f(x) = log4(x)as the parent function.
![**Transcription for Educational Website**
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**Write a logarithmic equation corresponding to the graph shown.**
Use \( f(x) = \log_4(x) \) as the parent function.
\[ y = \]
**Graph Description:**
The graph is a detailed plot of a logarithmic function. It presents a downward curving line that moves from left to right through the point \((1, -2)\).
Key elements to notice:
- The x-axis ranges from \(-8\) to \(8\).
- The y-axis ranges from \(-8\) to \(8\).
- The graph clearly marks the point \((1, -2)\) as a key point through which the curve passes.
- The curve indicates a transformation of the parent function \( f(x) = \log_4(x) \).
This visualization represents a logarithmic function that has been manipulated from its original parent form, likely through horizontal or vertical shifts.
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Transcribed Image Text:**Transcription for Educational Website**
---
**Write a logarithmic equation corresponding to the graph shown.**
Use \( f(x) = \log_4(x) \) as the parent function.
\[ y = \]
**Graph Description:**
The graph is a detailed plot of a logarithmic function. It presents a downward curving line that moves from left to right through the point \((1, -2)\).
Key elements to notice:
- The x-axis ranges from \(-8\) to \(8\).
- The y-axis ranges from \(-8\) to \(8\).
- The graph clearly marks the point \((1, -2)\) as a key point through which the curve passes.
- The curve indicates a transformation of the parent function \( f(x) = \log_4(x) \).
This visualization represents a logarithmic function that has been manipulated from its original parent form, likely through horizontal or vertical shifts.
---
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