5. Find the logarithmic function of the form y = loga (x) whose graph is given below. y 1.0 0.5 3 (4, 1/2) 4 5 X

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

5. Find the logarithmic function of the form \( y = \log_a(x) \) whose graph is given below.

**Graph Explanation:**

- The graph is a plot of the function \( y = \log_a(x) \).
- The x-axis ranges from 0 to 5, while the y-axis ranges from -1 to 1.
- The curve is in red, starting from the lower left and moving upwards to the right. 
- A point is marked on the graph at the coordinates (4, 1/2).

**Task:**

Determine the base \( a \) of the logarithmic function so that it represents the graph accurately.

**Answer:**

\[ f(x) = \underline{\qquad} \]

(Note: The box is left empty for users to calculate and fill in the base \( a \) based on the provided point (4, 1/2) on the graph.)
Transcribed Image Text:**Problem Statement:** 5. Find the logarithmic function of the form \( y = \log_a(x) \) whose graph is given below. **Graph Explanation:** - The graph is a plot of the function \( y = \log_a(x) \). - The x-axis ranges from 0 to 5, while the y-axis ranges from -1 to 1. - The curve is in red, starting from the lower left and moving upwards to the right. - A point is marked on the graph at the coordinates (4, 1/2). **Task:** Determine the base \( a \) of the logarithmic function so that it represents the graph accurately. **Answer:** \[ f(x) = \underline{\qquad} \] (Note: The box is left empty for users to calculate and fill in the base \( a \) based on the provided point (4, 1/2) on the graph.)
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