💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Textbooks
Test Prep
Numerade for Schools
Bootcamps
Class
Ask Question
StudyParty
Earn Money
Refer a friend. Get $50! Become an Educator

Log in

Problem

Use the change-of-base rule (with either common o…

Get the answer to your homework problem.

Try Numerade free for 30 days

Amy J.

Numerade Educator

Like

Report

Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62

Problem 49 Easy Difficulty

Use the change-of-base rule (with either common or natural logarithms) to find each logarithm to four decimal places.
$\log _{3} 12$

Answer

Related Courses

Precalculus

Algebra

Beginning and Intermediate Algebra

Chapter 12

Inverse, Exponential, and Logarithmic Functions

Section 5

Second-Degree Inequalities and Systems of Inequalities

Related Topics

Introduction to Sequences and Series

Functions

Exponential and Logarithmic Functions

Discussion

You must be signed in to discuss.

Top Algebra Educators

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Algebra Courses

Lectures

Video Thumbnail

01:32

Absolute Value - Example 1

In mathematics, the absolu…

Video Thumbnail

01:11

Absolute Value - Example 2

In mathematics, the absolu…

Join Course

Recommended Videos

00:18

Use the change-of-base rul…

00:16

Use the change-of-base rul…

00:52

Find the logarithm using n…

00:21

Use the change-of-base rul…

00:18

Use the change-of-base rul…

00:23

Use the base-change formul…

00:28

Use the base-change formul…

00:18

Use the change-of-base rul…

00:42

Use the change-of-base for…

00:20

Use the change-of-base rul…

Watch More Solved Questions in Chapter 12

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Video Transcript

Okay, So, using or change of based formula, we can write this as the natural log 12 over the natural log of three. So let's put this into our calculator. So this is equal to approximately a 2.2619

Get More Help with this Textbook

Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

View More Answers From This Book

Find Another Textbook

Related Topics

Introduction to Sequences and Series

Functions

Exponential and Logarithmic Functions

Top Algebra Educators

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Algebra Courses

Lectures

Video Thumbnail

01:32

Absolute Value - Example 1

In mathematics, the absolute value or modulus |x| of a real number x is its …

Video Thumbnail

01:11

Absolute Value - Example 2

In mathematics, the absolute value or modulus |x| of a real number x is its …

Join Course

Recommended Videos

00:18

Use the change-of-base rule (with either common or natural logarithms) to fi…

00:16

Use the change-of-base rule (with either common or natural logarithms) to fi…

00:52

Find the logarithm using natural logarithms and the change-of-base formula. …

00:21

Use the change-of-base rule (with either common or natural logarithms) to fi…

00:18

Use the change-of-base rule (with either common or natural logarithms) to fi…

00:23

Use the base-change formula to find each logarithm to four decimal places. <…

00:28

Use the base-change formula to find each logarithm to four decimal places. <…

00:18

Use the change-of-base rule (with either common or natural logarithms) to fi…

00:42

Use the change-of-base formula to evaluate each logarithm using a calculator…

00:20

Use the change-of-base rule (with either common or natural logarithms) to fi…

Additional Mathematics Questions

express-each-radical-in-simplified-form-see-example-4-sqrt564

00:57

Express each radical in simplified form. See Example 4.
$$
\sqrt[5]{64…

simplify-each-expression-write-all-answers-with-positive-exponents-assume-that-all-variables-repr-17

00:51

Simplify each expression. Write all answers with positive exponents. Assume …

use-the-properties-of-logarithms-to-express-each-logarithm-as-a-sum-or-difference-of-logarithms-or-2

00:14

Use the properties of logarithms to express each logarithm as a sum or diffe…

write-each-exponential-statement-in-logarithmic-form-see-section-123-10-2001

00:13

Write each exponential statement in logarithmic form. See Section 12.3
$$…

write-each-logarithmic-statement-in-exponential-form-see-section-123-log-_10-sqrt3

00:14

Write each logarithmic statement in exponential form. See Section $12.3 .$

solve-each-inequality-and-graph-the-solution-set-x4x-80

02:34

Solve each inequality, and graph the solution set.
$$
(x+4)(x-8)<0…

let-fxx24-gx2-x3-and-hxx-5-find-each-value-or-expression-see-examples-6-and-7-13

01:11

Let $f(x)=x^{2}+4, g(x)=2 x+3,$ and $h(x)=x-5 .$ Find each value or expressi…

solve-each-inequality-and-graph-the-solution-set-see-example-4-x24-x-32-x7-geq-0

07:01

Solve each inequality, and graph the solution set. See Example 4.
$$
(…

use-the-properties-of-logarithms-to-write-each-expression-as-a-single-logarithm-assume-that-all-va-8

00:36

Use the properties of logarithms to write each expression as a single logari…

$solve-each-inequality-and-graph-the-solution-set-see-examples-5-and-6-frac20x-1-geq-1$

06:07

Solve each inequality, and graph the solution set. See Examples 5 and $6 .$<…

Add To Playlist

Add to Existing Playlist

OR

Create a New Playlist

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Typo in question

Answer is wrong

Video playback is not visible

Audio playback is not audible

Answer is not helpful

Other

Get 24/7 study help with our app

About

Our Story
Careers
Our Educators
Numerade Blog

Browse

Bootcamps
Books
Topics
Test Prep
Ask Directory

Support

Help
Privacy Policy
Terms of Service

Get started

92% of Numerade students report better grades.

Create an account to get free access

Join Numerade as a

Student Parent

By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy

or sign in with

Already have an account? Log in