CA Foundation Exam > CA Foundation Questions > Log2 to the base 10 =x ,log3 to the base 10= ...
Start Learning for Free
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =?
a) x+y-1
b) x+4y-1
c) 4×+y-1
d) x+y+1?
a) x+y-1
b) x+4y-1
c) 4×+y-1
d) x+y+1?
Most Upvoted Answer
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to ...
Solution:
Given, log2 (base 10) = x and log3 (base 10) = y.
We need to find the value of log4.8 (base 10).
Let us first express log4.8 in terms of x and y.
log4.8 (base 10) = log(48/10) (base 10)
= log48 (base 10) - log10 (base 10)
= log(16 × 3) (base 10) - 1
= log16 (base 10) + log3 (base 10) - 1
= 4log2 (base 10) + y - 1
= 4x + y - 1
Therefore, the answer is option (b) x 4y-1.
Explanation:
We have used the following identities:
- log(a × b) (base c) = loga (base c) + logb (base c)
- log(a/b) (base c) = loga (base c) - logb (base c)
- loga (base c^m) = m loga (base c)
By applying these identities, we have expressed log4.8 (base 10) in terms of x and y. Then, we have simplified the expression using the given values of x and y to obtain the answer.
Given, log2 (base 10) = x and log3 (base 10) = y.
We need to find the value of log4.8 (base 10).
Let us first express log4.8 in terms of x and y.
log4.8 (base 10) = log(48/10) (base 10)
= log48 (base 10) - log10 (base 10)
= log(16 × 3) (base 10) - 1
= log16 (base 10) + log3 (base 10) - 1
= 4log2 (base 10) + y - 1
= 4x + y - 1
Therefore, the answer is option (b) x 4y-1.
Explanation:
We have used the following identities:
- log(a × b) (base c) = loga (base c) + logb (base c)
- log(a/b) (base c) = loga (base c) - logb (base c)
- loga (base c^m) = m loga (base c)
By applying these identities, we have expressed log4.8 (base 10) in terms of x and y. Then, we have simplified the expression using the given values of x and y to obtain the answer.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1?
Question Description
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1?.
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1?.
Solutions for Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? defined & explained in the simplest way possible. Besides giving the explanation of
Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1?, a detailed solution for Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? has been provided alongside types of Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? theory, EduRev gives you an
ample number of questions to practice Log2 to the base 10 =x ,log3 to the base 10= y and value of log4.8 to base 10 =? a) x+y-1b) x+4y-1c) 4×+y-1d) x+y+1? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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