8√4n=(4√2)^8, n=?
A. 4^8
B. 4^10
C. 4^12
D. 4^16
E. 4^32
*An answer will be posted in 2 days
8√4n=(4√2)^8, n=?
This topic has expert replies
- Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
![Image](https://www.mathrevolution.com/img/common/logo.gif)
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
- Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
The correct answer is D.
![Image](https://www.mathrevolution.com/img/common/logo.gif)
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Given: 8√(4n) = (4√2)^8Max@Math Revolution wrote:If 8√(4n) = (4√2)^8, n = ?
A. 4^8
B. 4^10
C. 4^12
D. 4^16
E. 4^32
Notice that 8√(4n) = 8(√4)(√n) = 8(2)(√n) = 16√n
Also, (4√2)^8 = [(4)^8][(√2)^8]
= [4^8][(√2)(√2)(√2)(√2)(√2)(√2)(√2)(√2)]
= [4^8][(2)(2)(2)(2)]
= [4^8][(4)(4)]
= [4^8][4^2]
= 4^10
So the given equation 8√(4n) = (4√2)^8...
Becomes: 16√n = 4^10
Rewrite as: (4^2)√n = 4^10
Divide both sides by 4^2 to get: √n = 4^8
Square both sides to get: n = 4^16
Answer: D
Cheers,
Brent