CA Foundation Exam > CA Foundation Questions > 6. If 2 log x = 4 log 3, the x is equal to (a...
Start Learning for Free
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these?
Most Upvoted Answer
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none ...
Solution:
To solve the equation 2 log x = 4 log 3, we need to apply the properties of logarithms.
Properties of logarithms:
1. log a + log b = log (a * b)
2. log a - log b = log (a / b)
3. log a^n = n log a
Step 1: Simplify the equation using the properties of logarithms.
2 log x = 4 log 3
Using property 3, we can rewrite the equation as:
log x^2 = log 3^4
Step 2: Remove the logarithms from both sides of the equation.
x^2 = 3^4
Simplifying further, we have:
x^2 = 81
Step 3: Solve for x by taking the square root of both sides.
x = ±√(81)
Taking the square root, we get:
x = ±9
Since the equation does not specify any restrictions on x, both x = 9 and x = -9 are valid solutions.
Step 4: Determine which option (a), (b), (c), or (d) matches the solutions.
(a) 3: x = 3 is not a solution.
(b) 9: x = 9 is a solution.
(c) 2: x = 2 is not a solution.
(d) none of these: x = -9 is a solution.
Therefore, the correct answer is (b) 9.
To solve the equation 2 log x = 4 log 3, we need to apply the properties of logarithms.
Properties of logarithms:
1. log a + log b = log (a * b)
2. log a - log b = log (a / b)
3. log a^n = n log a
Step 1: Simplify the equation using the properties of logarithms.
2 log x = 4 log 3
Using property 3, we can rewrite the equation as:
log x^2 = log 3^4
Step 2: Remove the logarithms from both sides of the equation.
x^2 = 3^4
Simplifying further, we have:
x^2 = 81
Step 3: Solve for x by taking the square root of both sides.
x = ±√(81)
Taking the square root, we get:
x = ±9
Since the equation does not specify any restrictions on x, both x = 9 and x = -9 are valid solutions.
Step 4: Determine which option (a), (b), (c), or (d) matches the solutions.
(a) 3: x = 3 is not a solution.
(b) 9: x = 9 is a solution.
(c) 2: x = 2 is not a solution.
(d) none of these: x = -9 is a solution.
Therefore, the correct answer is (b) 9.
Community Answer
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none ...
And 9
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
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these?
Question Description
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? 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 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these?.
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? 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 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these?.
Solutions for 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? 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 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? defined & explained in the simplest way possible. Besides giving the explanation of
6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these?, a detailed solution for 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? has been provided alongside types of 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? theory, EduRev gives you an
ample number of questions to practice 6. If 2 log x = 4 log 3, the x is equal to (a) 3 (b) 9 (c) 2 (d) none of these? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup