Chapter 5: Q. 61 (page 315)

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{5} (x + 1) - \log_{4} (x - 2) = 1$

Short Answer

Expert verified

The solution of the given equation is 2.79.

Step by step solution

Step 1. Given information.

The given equation is:

$\log_{5} (x + 1) - \log_{4} (x - 2) = 1$

Step 2. Determine the solution by the graphing utility.

Plot the graphs of $y_{1} = \log_{5} (x + 1) - \log_{4} (x - 2)$ and $y_{2} = 1$ on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at $x \approx 2.787$ . After rounding the value to two decimal places $x \approx 2.79$ .

Step 3. Conclusion.

The solution of the given equation is 2.79.

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Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{5} (x + 1) - \log_{4} (x - 2) = 1$

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.log5(x+1)-log4(x-2)=1

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

Applied Mathematics

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
$\log_{5} (x + 1) - \log_{4} (x - 2) = 1$