/*! 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. 251 In the following exercises, use ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 251 (page 1045)

In the following exercises, use the Properties of Logarithms to expand the logarithm. Simplify if possible.

log23x5y3

Short Answer

Expert verified

The simplified expression is,

log23+5log2x+3log2y

Step by step solution

01

Step 1. Given and explanation.  

We are given an expression,

log23x5y3

Use the properties of logarithms to simplify the given expression.

02

Step 2. Simplifying the expression

Using product property of logarithm loga(M路N)=logaM+logaN, we get

localid="1645005231598" log23x5y3=log23+log2x5+log2y3

Now, using power property of logarithmlogaMp=plogaM, we get

log23x5y3=log23+5log2x+3log2y

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

Convert from exponential to logarithmic form:

10-2=1100.

In the following exercises, graph each exponential function.

g(x)=7x

In the following exercises, solve each logarithmic equation y=log0.6x

In the following exercise, find the inverse of each function.

fx=x-33

In the following exercises, find

a.f鈭�g(x)

b.g鈭�f(x)

c.(f.g)(x)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.