Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 5: Q 99. (page 309)

Find the value of $\log_{2} 3 路 \log_{3} 4 路鈰� 路 \log_{n} (n + 1) 路 \log_{n + 1} 2$

Short Answer

Expert verified

The obtained result is 1.

Step by step solution

Step 1. Given information.

Consider the given expression.

$\log_{2} 3 路 \log_{3} 4 路鈰� 路 \log_{n} (n + 1) 路 \log_{n + 1} 2$

Step 2. Calculation.

Apply the base change formula to simplify the expression.

$\begin{array}{rcl} \log_{2} 3 路 \log_{3} 4 路鈰� 路 \log_{n} (n + 1) 路 \log_{n + 1} 2 & = & \frac{\log 3}{\log 2} 路 \frac{\log 4}{\log 3} 路鈰� 路 \frac{\log (n + 1)}{\log n} 路 \frac{\log 2}{\log (n + 1)} \\ = & \frac{1}{\log 2} 路 \frac{1}{1} 路鈰� 路 \frac{1}{1} 路 \frac{\log 2}{1} \\ = & \frac{\log 2}{\log 2} \\ = & 1 \end{array}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Find the value of $\log_{2} 3 路 \log_{3} 4 路鈰� 路 \log_{n} (n + 1) 路 \log_{n + 1} 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Find the value oflog23路log34路鈰�路lognn+1路logn+12

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the value of $\log_{2} 3 路 \log_{3} 4 路鈰� 路 \log_{n} (n + 1) 路 \log_{n + 1} 2$