/*! 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. 6 Solve each equationlogb16聽=聽2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 6 (page 351)

Solve each equation

logb16=2

Short Answer

Expert verified

The value of b is 4

Step by step solution

01

Step 1. Given Information

Given equation logb16=2

We have to solve equation for the value of b.

02

Step 2. Solution

Logarithmic function is good defined only if the argument of logarithmic function is a positive real number and base is a positive real number and not 1 (logbx,x>0,b>0,b鈮�1).

Therefore the solution of equation logb16=2must be b>0,b鈮�1---(1)

(Since b is at the base of the logarithmic function)

Using the formula:

ylogax鈬�x=aya>0,a鈮�1wherea=b,x=16andy=2weget:logb16=2b2=16b=卤4

The solution is greater that 0 and its not 1 (condition (1)), so the solution of the given equation is b = 4 .

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 domain of one-to-one function g is0,15, and range is (0,8). State the domain and range oflocalid="1646180141229" g-1

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The function f(x)=2xx-3 hasy=2 as a horizontal asymptote.

Use the graph of y=f(x)given in Problem 44to evaluate

the following:

(a)f(2)

(b) f(1)

(c) f-1(0)

(d) f-1(-1)

Solve the equation22x-1=4

and verify your results using a graphing utility.

the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2-42x2x>0
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Pure 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.