💬 👋 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

$17-24=$ Logarithmic Form Express the equation in…

01:46

Get the answer to your homework problem.

Try Numerade free for 30 days

Erna B.

Other Schools

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 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105

Problem 22 Easy Difficulty

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$${ (a) }\ 3^{2 x}=10 \quad \text { (b) } 10^{-4 x}=0.1$$

Answer

a. $3^{2 x}=10 \leftrightarrow \log _{3} 10=2 x$
b. $10^{-4 x}=0.1 \leftrightarrow \log _{10} 0.1=-4 x$

Related Courses

Algebra

Algebra and Trigonometry

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Related Topics

Exponential and Logarithmic Functions

Discussion

You must be signed in to discuss.

Top Algebra Educators

Grace H.

Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

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

01:33

$17-24=$ Logarithmic Form …

01:31

$17-24$ Logarithmic Form E…

01:31

$17-24=$ Logarithmic Form …

01:40

$17-24=$ Logarithmic Form …

01:52

$17-24=$ Logarithmic Form …

01:46

$17-24=$ Logarithmic Form …

01:39

$17-24=$ Logarithmic Form …

00:45

Logarithmic Form Express t…

00:45

Logarithmic Form Express t…

01:44

a. $\log 5 x=1.7$
b. $\…

Watch More Solved Questions in Chapter 4

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 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Video Transcript

but let's look at the procedure off changing from exponential form to logarithmic form first. So if I have the exponential form off A to the power off eggs equal to some B thing to change this into logarithmic form will have the log off and the base off the lock is the base off the exponents. So therefore it will be logged a and then the B goes into the log on the exponents, the eggs goes to the other the right hand side, and that is changing from exponential form to logarithmic form. So let's apply it to the question at A it is three to the power off to X equal to 10. So for the lock, the base will be the three and then the tin inside the lock and the two weeks as they explode, it comes down to the other side off the equation. Sign right Then at the it is 10 to the power off. Negative four X equal to zero comma one. So in the lock, the base is 10. Then this year Oh, come on. One equal to negative full eggs. Right. This can also be written as just lock off zero comma, one equal two negative four x Because if there's nothing, then we will assume that this is an invisible tin in the lock.

Get More Help with this Textbook

James Stewart, Lothar Redlin, Saleem Watson

Algebra and Trigonometry

View More Answers From This Book

Find Another Textbook

Related Topics

Exponential and Logarithmic Functions

Top Algebra Educators

Grace H.

Numerade Educator

Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

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

01:33

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

01:31

$17-24$ Logarithmic Form Express the equation in logarithmic
form.
$${…

01:31

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

01:40

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

01:52

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

01:46

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

01:39

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$$…

00:45

Logarithmic Form Express the equation in logarithmic form.
$$
\text { …

00:45

Logarithmic Form Express the equation in logarithmic form.
$$
\text { …

01:44

a. $\log 5 x=1.7$
b. $\ln 5 x=1.7$

Additional Mathematics Questions

exponential-equations-find-the-solution-of-the-exponential-equation-as-in-example-1-72-x-37

00:36

Exponential Equations Find the solution of the exponential equation, as in E…

from-degrees-to-radians-find-the-radian-measure-of-the-angle-with-the-given-degree-measure-round-y-4

00:51

From Degrees to Radians Find the radian measure of the angle with the given …

bird-population-a-certain-species-of-bird-was-introduced-in-a-certain-county-25-years-ago-biologis

05:28

Bird Population A certain species of bird was introduced in
a certain cou…

7-16-combining-functions-quad-find-fg-f-g-f-g-and-f-g-and-their-domains-fxx-2

07:00

$7-16=$ Combining Functions $\quad$ Find $f+g, f-g, f g,$ and $f / g$ and th…

exponential-equations-a-find-the-exact-solution-of-the-exponential-equation-in-terms-of-logarithm-20

01:00

Exponential Equations (a) Find the exact solution of
the exponential equa…

from-degrees-to-radians-find-the-radian-measure-of-the-angle-with-the-given-degree-measure-round-y-8

00:57

From Degrees to Radians Find the radian measure of the angle with the given …

inverse-function-property-use-the-inverse-function-property-to-show-that-f-and-g-are-inverses-o-4

01:05

Inverse Function Property Use the Inverse Function
Property to show that …

the-inverse-sine-inverse-cosine-and-inverse-tangent-functions-have-the-following-domains-and-range

02:43

The inverse sine, inverse cosine, and inverse tangent functions have the fol…

coterminal-angles-the-measure-of-an-angle-in-standard-position-is-given-find-two-positive-angles-a-3

01:48

Coterminal Angles The measure of an angle in standard position is given. Fin…

volume-of-a-box-a-cardboard-box-has-a-square-base-with-each-edge-of-the-base-having-length-x-in

05:56

Volume of a Box A cardboard box has a
square base, with each edge of the …

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

Already have an account? Log in