Engineering Mathematics Exam > Engineering Mathematics Videos > Writing in logarithmic and exponential form
Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics
FAQs on Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics
| 1. What is the logarithmic form of the exponential equation 2^x = 8? |  |
Ans. The logarithmic form of the equation 2^x = 8 is log2(8) = x.
| 2. How can logarithmic form be used to solve exponential equations? | |
Ans. Logarithmic form can be used to solve exponential equations by taking the logarithm of both sides of the equation, isolating the variable on one side, and then evaluating the logarithm using the appropriate base.
| 3. How can exponential form be used to solve logarithmic equations? | |
Ans. Exponential form can be used to solve logarithmic equations by converting the equation to exponential form, isolating the variable on one side, and then evaluating the exponential expression using the appropriate base.
| 4. What is the relationship between logarithmic and exponential functions? | |
Ans. Logarithmic and exponential functions are inverses of each other. This means that if y = loga(x), then x = a^y. They essentially "undo" each other's operations.
| 5. How can logarithmic and exponential functions be applied in engineering mathematics? | |
Ans. Logarithmic and exponential functions are commonly used in engineering mathematics to model various phenomena, such as exponential growth or decay, signal processing, and circuit analysis. They are also used in solving problems related to exponential growth, interest rates, and logarithmic scales in engineering applications.
Text Transcript from Video
Voiceover:Rewrite the following
equation in logarithmic form.
So they wrote 100 is equal to 10
to the second power.
So if we wanna write the same
information, really, in logarithmic form,
we could say that the power that I need
to raise 10 to to get
to 100 is equal to 2,
or log base 10 of 100 is equal to 2.
Notice these are equivalent statements.
This is just in exponential form.
This is is logarithmic form.
This is saying that the power I need
to raise 10 to to get
to 100 is equal to 2.
Which is the same thing as saying
that 10 to the 2nd power is 100.
10 to the second power is 100.
And the way that I specify the base
is by doing this
underscore right over here.
So underscore 10, log base 10 of 100
is equal to 2.
Here they ask us to rewrite the following
equation in exponential form.
So this is log base 5 of 1 over 125
is equal to negative 3.
This is one way to
think about it is saying
the power that I need to raise 5
to to get to 1 over 125
is equal to negative 3
or that 5 to the negative 3 power is
equal to 1 over 125.
And we can verify that this has formatted
it the right way.
5 to the negative 3 power is 1 over 125.
The exact same truth about the universe,
just in different forms.
Logarithmic form and exponential form.
So let me check my answer
and make sure I got it right.
And I did.
equation in logarithmic form.
So they wrote 100 is equal to 10
to the second power.
So if we wanna write the same
information, really, in logarithmic form,
we could say that the power that I need
to raise 10 to to get
to 100 is equal to 2,
or log base 10 of 100 is equal to 2.
Notice these are equivalent statements.
This is just in exponential form.
This is is logarithmic form.
This is saying that the power I need
to raise 10 to to get
to 100 is equal to 2.
Which is the same thing as saying
that 10 to the 2nd power is 100.
10 to the second power is 100.
And the way that I specify the base
is by doing this
underscore right over here.
So underscore 10, log base 10 of 100
is equal to 2.
Here they ask us to rewrite the following
equation in exponential form.
So this is log base 5 of 1 over 125
is equal to negative 3.
This is one way to
think about it is saying
the power that I need to raise 5
to to get to 1 over 125
is equal to negative 3
or that 5 to the negative 3 power is
equal to 1 over 125.
And we can verify that this has formatted
it the right way.
5 to the negative 3 power is 1 over 125.
The exact same truth about the universe,
just in different forms.
Logarithmic form and exponential form.
So let me check my answer
and make sure I got it right.
And I did.
Related Exams
About this Video
|
Dec 28, 2024 Last updated |
Writing in logarithmic and exponential form for Engineering Mathematics 2024 is part of Engineering Mathematics preparation. The notes and questions for Writing in logarithmic and exponential form
have been prepared according to the Engineering Mathematics exam syllabus. Information about Writing in logarithmic and exponential form covers all important topics
for Engineering Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises
and tests below for Writing in logarithmic and exponential form.
Introduction of Writing in logarithmic and exponential form in English is available as part of our Engineering Mathematics preparation & Writing in logarithmic and exponential form in Hindi
for Engineering Mathematics courses. Download more important topics, notes, lectures and mock test series for Engineering Mathematics Exam by
signing up for free.
Description
Video Lecture & Questions for Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics - Engineering Mathematics full syllabus preparation | Free video for Engineering Mathematics exam.
Information about Writing in logarithmic and exponential form
Here you can find the Writing in logarithmic and exponential form defined & explained in the simplest way possible. Besides explaining types of Writing in logarithmic and exponential form
theory, EduRev gives you an ample number of questions to practice Writing in logarithmic and exponential form tests, examples and also practice Engineering Mathematics tests.
|
Explore Courses for Engineering Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics
,Sample Paper
,Free
,Previous Year Questions with Solutions
,shortcuts and tricks
,ppt
,Exam
,Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics
,Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics
,Important questions
,Semester Notes
,Objective type Questions
,mock tests for examination
,Extra Questions
,practice quizzes
,MCQs
,Viva Questions
,study material
,Summary
,video lectures
,past year papers
;
Study Writing in logarithmic and exponential form on the App
Students of Engineering Mathematics can study Writing in logarithmic and exponential form alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Writing in logarithmic and exponential form,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Writing in logarithmic and exponential form is prepared as per the latest Engineering Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup