Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 01:43 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If (500)(7,000) = (350)(100^x)

Author Message
TAGS:

### Hide Tags

Manager  Joined: 14 Dec 2014
Posts: 51
Location: India
Concentration: Technology, Finance
GPA: 3.87
WE: Programming (Computer Software)

### Show Tags

1
3 00:00

Difficulty:   15% (low)

Question Stats: 75% (01:08) correct 25% (01:01) wrong based on 101 sessions

### HideShow timer Statistics If (500)(7,000) = (350)(100^x), what is the value of x?

(A)5

(B)4

(C)3

(D)2

(E)1

_________________
If you like my posts appreciate them with Kudos Cheers!!
GMAT Tutor G
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 620
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31 GPA: 3
WE: Information Technology (Computer Software)
Re: If (500)(7,000) = (350)(100^x)  [#permalink]

### Show Tags

(500)(7,000) = (350)(100^x)
=> (500)(7,000)/350 = 100^x
=> 10,000 = 100^x
=> 100^2 = 100^x
Since, base is same so powers will be same too.
So, x=2

Hope it helps!
uday1409 wrote:
If (500)(7,000) = (350)(100^x), what is the value of x?

(A)5

(B)4

(C)3

(D)2

(E)1

_________________
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14563
Location: United States (CA)
GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If (500)(7,000) = (350)(100^x)  [#permalink]

### Show Tags

Hi uday1409,

When multiplying numbers that end in 0, there's a great "math shortcut" that you can use:

Here, we're told...

(500)(7000) = 350(100^X) and we're asked for the value of X...

(5)(7) = 35

There are two 0s in the first parentheses) and three 0s in the second parentheses, so we'll have FIVE 0s in total (following the 35):

3,500,000

On the "right side" of the equation:

We have 350, which is 35 with one 0. We need FOUR MORE 0s for the equation to equal...

(100) has two 0s
(100^2) = (100)(100) has four 0s

So, X MUST = 2....

(350)(100)(100) =

3,500,000

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin Follow
Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Manager  Joined: 14 Oct 2014
Posts: 66
Location: United States
GMAT 1: 500 Q36 V23 Re: If (500)(7,000) = (350)(100^x)  [#permalink]

### Show Tags

(500)(7,000) = (350)(100^x)
5*7*10^5=5*7*10*10^2x
5*7*10^5=5*7*10^(2x+1)
5=2x+1
x=2
Senior Manager  B
Joined: 02 Dec 2014
Posts: 360
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33 WE: Sales (Telecommunications)
Re: If (500)(7,000) = (350)(100^x)  [#permalink]

### Show Tags

(500*7000)=350*100^x ==> 35 00000 = 350 100^x (we need to equal the number of "0" on both sides. Hence 100^x should have four "0" ==> 100^x = 10 000 ==> x=2). Hope it is clear
_________________
"Are you gangsters?" - "No we are Russians!"
Board of Directors P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If (500)(7,000) = (350)(100^x)  [#permalink]

### Show Tags

uday1409 wrote:
If (500)(7,000) = (350)(100^x), what is the value of x?

(A)5

(B)4

(C)3

(D)2

(E)1

$$(500)(7,000) = (350)(100^x)$$

Or, $$(3500000) = (350)(100^x)$$

Or, $$10000 = 100^x$$

Thus, x = 2, Answer must be (D)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3064

### Show Tags

uday1409 wrote:
If (500)(7,000) = (350)(100^x), what is the value of x?

(A)5

(B)4

(C)3

(D)2

(E)1

Separate 35 and powers of 10 on both sides
$$(5*10^2)(7*10^3)=(35*10^1)(100^{x})$$

$$(5*7)(10^2*10^3)=(35)(10^1)*(10^2)^{x})$$

$$(35)(10^{(2+3)})=(35)(10^1)(10^{(2*x)})$$

$$(35)(10^5)=(35)(10^{(1+2x)})$$

Factor out 35 (i.e., use only the bases with exponents)
$$10^5=10^{(1+2x)}$$
Bases are equal. Set the exponents equal
$$5=(1+2x)$$
$$2x=4$$
$$x=2$$

_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver If (500)(7,000) = (350)(100^x)   [#permalink] 08 Aug 2018, 09:32
Display posts from previous: Sort by

# If (500)(7,000) = (350)(100^x)  