GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 May 2019, 18:04

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If n is an integer, what is the least value of n for which 4^(-n)<1512

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55150
If n is an integer, what is the least value of n for which 4^(-n)<1512  [#permalink]

### Show Tags

29 Nov 2018, 00:28
00:00

Difficulty:

45% (medium)

Question Stats:

57% (01:15) correct 43% (01:07) wrong based on 65 sessions

### HideShow timer Statistics

If n is an integer, what is the least value of n for which $$4^{−n} < \frac{1}{512}$$ ?

A. 4
B. 5
C. 6
D. 7
E. 8

_________________
Director
Joined: 18 Jul 2018
Posts: 897
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
If n is an integer, what is the least value of n for which 4^(-n)<1512  [#permalink]

### Show Tags

29 Nov 2018, 01:11
1
$$4^{-n}$$ = $$\frac{1}{4^n}$$ = $$\frac{1}{2^{2n}}$$

Also 512 = $$2^9$$

Then $$\frac{1}{2^{2n}}$$ < $$\frac{1}{2^9}$$

Least value of n should be 5. as $$2^{10}$$ = 1024

_________________
Press +1 Kudo If my post helps!
If n is an integer, what is the least value of n for which 4^(-n)<1512   [#permalink] 29 Nov 2018, 01:11
Display posts from previous: Sort by