Chapter 5: Q. 62 (page 315)

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{2} (x - 1) - \log_{6} (x + 2) = 2$

Short Answer

Expert verified

The solution of the given equation is 12.15.

Step by step solution

Step 1. Given information.

The given equation is:

$\log_{2} (x - 1) - \log_{6} (x + 2) = 2$

Step 2. Determine the solution by the graphing utility.

Plot the graphs of $y_{1} = \log_{2} (x - 1) - \log_{6} (x + 2)$ and $y_{2} = 2$ on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at $x \approx 12.148$ . After rounding the value to two decimal places $x \approx 12.15$ .

Step 3. Conclusion.

The solution of the given equation is 12.15.

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Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{2} (x - 1) - \log_{6} (x + 2) = 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the solution by the graphing utility.

Step 3. Conclusion.

One App. One Place for Learning.

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Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.log2(x-1)-log6(x+2)=2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the solution by the graphing utility.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Applied Mathematics

Discrete Mathematics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{2} (x - 1) - \log_{6} (x + 2) = 2$