
Expand the following:
log 1000
Answer
526.5k+ views
2 likes
Hint: We will be using the concepts of logarithmic function to solve the problem. We will first write 1000 as an exponent of 10 then we will use the logarithmic identities to further simplify the problem.
Complete step-by-step answer:
Now, we have to expand log 1000. So, now we will first express 1000 as where n is any integer. So, we have,
Therefore, we have .
Now, we know the logarithmic identities that,
So, now we have,
So, log 1000 can be expanded as .
Note: To solve these type of questions it is important to note that we have to used logarithmic identity that . Also, it should be noted that 1000 can be written as , so the problem gets simplified. Also, there is an alternate method:
We have used the identity that .
Complete step-by-step answer:
Now, we have to expand log 1000. So, now we will first express 1000 as
Therefore, we have
Now, we know the logarithmic identities that,
So, now we have,
So, log 1000 can be expanded as
Note: To solve these type of questions it is important to note that we have to used logarithmic identity that
We have used the identity that
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Find the largest number which divides 615 and 963 leaving class 9 maths CBSE

Describe the circumstances leading to the outbreak class 9 social science CBSE

In a morning walk three persons step off together -class-9-maths-CBSE

Which places in India experience sunrise first and class 9 social science CBSE

When did South Africa become independent A 16 April class 9 social science CBSE

The president of the constituent assembly was A Dr class 9 social science CBSE
