/*! 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. 51 Solve the system. Use any method... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 51 (page 774)

Solve the system. Use any method you wish.

logxy=3logx4y=5

Short Answer

Expert verified

The solution of system of equations are 2,8.

Step by step solution

01

Step 1. Given information.

Consider the given question,

logxy=3......(i)logx4y=5......(ii)

We know that if y=logaxthen x=ay.

If logxy=3then role="math" localid="1646982771638" y=x3......(iii).

If logx4y=5then role="math" localid="1646982904788" y=x54......(iv).

Equate equations (iii) and (iv), then,

x3=x54x=卤2

02

Step 2. Substitute the values of x in equation (iii).

Substitute x=2in equation (iii),

y=23y=8

Substitute x=-2in equation (iii),

y=-23y=-8

Negative value is not considered as the logarithm of the negative values is not defined.

Therefore, the solution sets are2,8.

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 sum of two numbers is the same as their product, and the difference of their reciprocals is 3. Find the numbers.

An area of 52feet2is to be enclosed by two squares whose sides are in the ratio of2:3. Find the sides of the squares.

Verify that the values of the variables listed are solutions of the system of equations.

4x-z=78x+5y-z=0-x-y+5z=6x=2,y=-3,z=1;2,-3,1

solve each system of equations. If the system has no solution, say that it is inconsistent

x + 4y - 3z = -8

3x - y + 3z = 12

x + y + 6z = 1

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

y=x;y=2-x
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

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.