Given the function f(x) = 3log;(x) find x when f(x) = 5 using a graphing calculator/program (https://www.desmos.com/ ). Then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator/program: Xmin = -5, Xmax = 35, Ymin = -10, Ymax = 15] 1. Write the point of intersection as an ordered pair below. Round the value of x to two decimal places. 2. Use the Line Tool to draw the Horizontal Line y = 5. 3. Use the Exponential Tool to draw f(x) = 3 log;(x). 4. Use the Point Tool to identify the point of intersection. 14 13 10 -2- 79 1o n 12 13 14 Is 16 n is 19 20 21 2 23 24 25 26 27 28 29 30 31 2 33 34 35 Clear All Draw: Point of Intersection:
Given the function f(x) = 3log;(x) find x when f(x) = 5 using a graphing calculator/program (https://www.desmos.com/ ). Then follow the steps below to show the intersection graph on the computer. [Hint: Use the following window on your graphing calculator/program: Xmin = -5, Xmax = 35, Ymin = -10, Ymax = 15] 1. Write the point of intersection as an ordered pair below. Round the value of x to two decimal places. 2. Use the Line Tool to draw the Horizontal Line y = 5. 3. Use the Exponential Tool to draw f(x) = 3 log;(x). 4. Use the Point Tool to identify the point of intersection. 14 13 10 -2- 79 1o n 12 13 14 Is 16 n is 19 20 21 2 23 24 25 26 27 28 29 30 31 2 33 34 35 Clear All Draw: Point of Intersection:
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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Please solve this question.
).
**Steps:**
1. **Write the point of intersection as an ordered pair below.** Round the value of \( x \) to two decimal places.
2. **Use the Line Tool** to draw the Horizontal Line \( y = 5 \).
3. **Use the Exponential Tool** to draw \( f(x) = 3 \log_5(x) \).
4. **Use the Point Tool** to identify the point of intersection.
**Graph Details:**
- **X-Axis Range:** \( X_{\text{min}} = -5 \) to \( X_{\text{max}} = 35 \)
- **Y-Axis Range:** \( Y_{\text{min}} = -10 \) to \( Y_{\text{max}} = 15 \)
The grid is marked in increments of 1 for both axes, providing a detailed view for plotting the functions and identifying points of intersection.
**Tools and Options:**
- **Clear All:** Button to reset the graph.
- **Draw:** Options to select different drawing tools such as line and curve drawing, and point marking.
**Point of Intersection:** Input box to record the intersection point as an ordered pair.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88141908-f647-4ee8-b9db-740467ff0375%2F059fe3fa-9f60-4934-aacd-3e3f205cd9f5%2F0jpjvc8_processed.png&w=3840&q=75)
Transcribed Image Text:# Solving Logarithmic Equations Graphically
**Given the function** \( f(x) = 3 \log_5(x) \), **find \( x \) when \( f(x) = 5 \) using a graphing calculator/program** ([https://www.desmos.com/](https://www.desmos.com/)).
**Steps:**
1. **Write the point of intersection as an ordered pair below.** Round the value of \( x \) to two decimal places.
2. **Use the Line Tool** to draw the Horizontal Line \( y = 5 \).
3. **Use the Exponential Tool** to draw \( f(x) = 3 \log_5(x) \).
4. **Use the Point Tool** to identify the point of intersection.
**Graph Details:**
- **X-Axis Range:** \( X_{\text{min}} = -5 \) to \( X_{\text{max}} = 35 \)
- **Y-Axis Range:** \( Y_{\text{min}} = -10 \) to \( Y_{\text{max}} = 15 \)
The grid is marked in increments of 1 for both axes, providing a detailed view for plotting the functions and identifying points of intersection.
**Tools and Options:**
- **Clear All:** Button to reset the graph.
- **Draw:** Options to select different drawing tools such as line and curve drawing, and point marking.
**Point of Intersection:** Input box to record the intersection point as an ordered pair.
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