It is currently 18 Nov 2017, 18:54

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is 3^x < x^3? (1) 3^x > 1 (2) 0 < x < 1

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132619 [0], given: 12326

Is 3^x < x^3? (1) 3^x > 1 (2) 0 < x < 1 [#permalink]

### Show Tags

10 Sep 2017, 21:46
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:18) correct 47% (01:30) wrong based on 35 sessions

### HideShow timer Statistics

Is $$3^x < x^3$$?

(1) $$3^x > 1$$

(2) $$0 < x < 1$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 132619 [0], given: 12326

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1597

Kudos [?]: 672 [1], given: 17

Location: India
WE: Sales (Retail)
Re: Is 3^x < x^3? (1) 3^x > 1 (2) 0 < x < 1 [#permalink]

### Show Tags

10 Sep 2017, 22:30
1
KUDOS
(1) $$3^x > 1$$
If x=1 or 3, the equation $$3^x < x^3$$ is not true
But, if x = $$\frac{5}{2}$$, the equation $$3^x < x^3$$ is true.(Insufficient)

(2) $$0 < x < 1$$
If value of x is between 0 and 1,
x could be $$\frac{1}{4}$$ or $$\frac{1}{2}$$
When we plug x=$$\frac{1}{2}$$, $$3^x < x^3$$ is false
Similarly when we plug x=$$\frac{1}{4}$$ also, $$3^x < x^3$$ is false.
Whatever the value of x in this range, the equation is always false(Sufficient) (Option B)

_________________

Stay hungry, Stay foolish

Kudos [?]: 672 [1], given: 17

Re: Is 3^x < x^3? (1) 3^x > 1 (2) 0 < x < 1   [#permalink] 10 Sep 2017, 22:30
Display posts from previous: Sort by