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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.
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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?
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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?.
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