GMAT Exam > GMAT Questions > Find the value of n that satisfies the equati...
Start Learning for Free
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2
- a)3
- b)4
- c)6
- d)8
- e)22
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3...
We need to find the value of n, given 2(−34n)=18(27)n+2
(Cancelling 2 on both sides. Also making use of the fact that 32k = (-3)2k)
Most Upvoted Answer
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3...
**Problem**
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n 2.
**Solution**
Let's simplify the given equation first.
2(-3)4n = 18(27)n 2
2(-81)n = 18(729)n
-162n = 162n
n = -1/2
Now, we need to check if this value of n satisfies the original equation.
2(-3)4(-1/2) = 18(27)(-1/2) 2
2(-3)-2 = 18(27)(1/4)
2(1/9) = 18(1/4)
2/9 = 9/2
Since the left-hand side and right-hand side of the equation are not equal, the value of n = -1/2 does not satisfy the equation.
Therefore, there is no solution for the given equation.
**Answer**
Option (e) None of the above.
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n 2.
**Solution**
Let's simplify the given equation first.
2(-3)4n = 18(27)n 2
2(-81)n = 18(729)n
-162n = 162n
n = -1/2
Now, we need to check if this value of n satisfies the original equation.
2(-3)4(-1/2) = 18(27)(-1/2) 2
2(-3)-2 = 18(27)(1/4)
2(1/9) = 18(1/4)
2/9 = 9/2
Since the left-hand side and right-hand side of the equation are not equal, the value of n = -1/2 does not satisfy the equation.
Therefore, there is no solution for the given equation.
**Answer**
Option (e) None of the above.
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
Question Description
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer?.
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer?.
Solutions for Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the value of n that satisfies the equation 2(-3)4n = 18(27)n+2a)3b)4c)6d)8e)22Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
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