Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

If x and y are integers and (15^x + 15^x+1)/4^y = 15^y , wh

Expert replies
by mitzwillrockgmat » Wed May 26, 2010 5:54 am
If x and y are integers and (15^x + 15^x+1)/4^y = 15^y , what is the value of x?

a.2
b.3
c.4
d.5
e.Cannot be determined

So this is what i did:

15^x + 15^x+1=15^y*4^y
15^x(1+15^1)=15^y*4^y
15^x(16)=15^y*4^y
15^x(2^4)=15^y*4^y
(3*5)^x(2^4)=(3*5)^y(2^2y)
(3^x*5^x)(2^4)=(3^y*5^y)(2^2y)

so now all the bases are same so i can equate the exponents.

x+x+4 = y+y+2y
2x+4=4y

this is where i get stuck! how do i get a value with this? Pls help! :)
Image
Join the discussion
Source: — Problem Solving |

by liferocks » Wed May 26, 2010 6:29 am
(15^x + 15^x+1)/4^y = 15^y
or 15^x*(1+15)/4^y=15^y
or 15^x*4*(2-y)=15^y*4^0

so x=y and y-2=0 or y=2
so x=2

Ans option a
“If you don't know where you are going, any road will get you there.”
Lewis Carroll
Join the discussion

by selango » Wed May 26, 2010 6:29 am
ans is 2

15^x(15+1)=15^y.4^y

3^x.5^y.4^2=3^y.5^y.4^2

Comparing the exponent with same base we get,

x=y

y=2

Hence x=2


what is the source?
Join the discussion

by mitzwillrockgmat » Wed May 26, 2010 6:49 am
selango wrote:ans is 2

15^x(15+1)=15^y.4^y

3^x.5^y.4^2=3^y.5^y.4^2 correction 4^y

Comparing the exponent with same base we get,

x=y

y=2

Hence x=2

what is the source?
thanks!! it's on manhattangmat cat exam.
Join the discussion

by Jeff@TargetTestPrep » Fri Jan 05, 2018 7:41 am
mitzwillrockgmat wrote:If x and y are integers and (15^x + 15^x+1)/4^y = 15^y , what is the value of x?

a.2
b.3
c.4
d.5
e.Cannot be determined

We can simplify the given equation:

15^x + 15^x * 15 = 15^y * 4^y

15^x(1 + 15) = 15^y * 2^(2y)

15^x(2^4) = 15^y * 2^(2y)

Thus, we see that:

15^x = 15^y, so x = y

and

2^4 = 2^(2y), so 4 = 2y, or 2 = y.

Thus, x = 2.

Answer: A

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Join the discussion