/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 32 In Problems 5鈥�32, solve each l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 32 (page 315)

In Problems 5鈥�32, solve each logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. Verify your results using a graphing utility.

logax+logax-2=logax+4

Short Answer

Expert verified

The solution isx-1andx=4.

Step by step solution

01

Step 1. Given information

The logarithmic function islogax+logax-2=logax+4

02

Step 2. Simplify and solve

We have,

logax+logax-2=logax+4鈬�logaxx-2=logax+4鈬�logax2-2x=logax+4鈬�x2-2x=x+4鈬�x2-2x-x-4=0鈬�x2-3x-4=0鈬�x2-4x+x-4=0鈬�(x-4)(x+1)=0鈬�x=4,-1

03

Step 3. Verify the solution

The graph of the given equation is

from the graph we see that there are two vertical straight lines that is x=-1,4

Hence the solution is correct.

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

Most popular questions from this chapter

The function f(x)=|x|is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of f.

If fx=ax, show thatf-x=1fx.

If f(7)=3 and f is one-to-one, what isf-1(13)?

In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x-3x+4
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.