CA Foundation Exam > CA Foundation Questions > Log base2√2 64 = x?
Start Learning for Free
Log base2√2 64 = x?
Most Upvoted Answer
Log base2√2 64 = x?
To solve this problem, we need to use the change of base formula for logarithms.
Change of Base Formula:
For any positive real numbers a, b, and c, where a and b are not equal to 1, we have:
log base a c = (log base b c) / (log base b a)
In this problem, we have:
Log base2√2 64 = x
Step 1: Rewrite the equation using the change of base formula.
Log base2 64 / Log base2 √2 = x
Step 2: Simplify the expression in the denominator.
Log base2 64 / Log base2 √2 = x
Log base2 64 / (1/2) = x
Log base2 64 * 2 = x
Log base2 128 = x
Step 3: Evaluate the logarithm.
Log base2 128 = 7
Therefore, Log base2√2 64 = 7.
In conclusion, we can solve logarithmic equations using the change of base formula.
Change of Base Formula:
For any positive real numbers a, b, and c, where a and b are not equal to 1, we have:
log base a c = (log base b c) / (log base b a)
In this problem, we have:
Log base2√2 64 = x
Step 1: Rewrite the equation using the change of base formula.
Log base2 64 / Log base2 √2 = x
Step 2: Simplify the expression in the denominator.
Log base2 64 / Log base2 √2 = x
Log base2 64 / (1/2) = x
Log base2 64 * 2 = x
Log base2 128 = x
Step 3: Evaluate the logarithm.
Log base2 128 = 7
Therefore, Log base2√2 64 = 7.
In conclusion, we can solve logarithmic equations using the change of base formula.
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
Log base2√2 64 = x?
Question Description
Log base2√2 64 = x? 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 Log base2√2 64 = x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log base2√2 64 = x?.
Log base2√2 64 = x? 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 Log base2√2 64 = x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Log base2√2 64 = x?.
Solutions for Log base2√2 64 = x? 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 Log base2√2 64 = x? defined & explained in the simplest way possible. Besides giving the explanation of
Log base2√2 64 = x?, a detailed solution for Log base2√2 64 = x? has been provided alongside types of Log base2√2 64 = x? theory, EduRev gives you an
ample number of questions to practice Log base2√2 64 = x? 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