GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Based on the two equations below, the value of x - y is closest to whi
[#permalink]
10 Nov 2021, 01:30
10 Nov 2021, 01:30
Expert Reply
6
Bookmarks
00:00
Question Stats:
51% (02:23) correct
48% (02:15) wrong based on 29 sessions
Hide Show timer Statistics
Based on the two equations below, the value of x - y is closest to which number?
\(4^x=100\)
\(2^y=50\)
A) 1
B) 0
C) -1
D) -2
E) -3
\(4^x=100\)
\(2^y=50\)
A) 1
B) 0
C) -1
D) -2
E) -3
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Based on the two equations below, the value of x - y is closest to whi
[#permalink]
10 Nov 2021, 05:59
10 Nov 2021, 05:59
1
Carcass wrote:
Based on the two equations below, the value of x - y is closest to which number?
\(4^x=100\)
\(2^y=50\)
A) 1
B) 0
C) -1
D) -2
E) -3
\(4^x=100\)
\(2^y=50\)
A) 1
B) 0
C) -1
D) -2
E) -3
GIVEN: \(4^x=100\)
Notice the following:
\(4^3=64\)
\(4^4=256\)
Since 100 is BETWEEN 64 and 256, it must be the case that x is BETWEEN 3 and 4.
So let's say x = 3.something
GIVEN: \(2^y=50\)
Notice the following:
\(2^5=32\)
\(2^6=64\)
Since 50 is BETWEEN 32 and 64, it must be the case that y is BETWEEN 5 and 6.
So let's say y = 5.something
This means x - y ≈ 3.something - 5.something ≈ -2
Answer: D
Re: Based on the two equations below, the value of x - y is closest to whi
[#permalink]
23 Jun 2022, 15:58
23 Jun 2022, 15:58
If questions like this arise on the GRE, should we not attempt to guess what the value of the exponents actually are?
I did that and got stuck between -2 and -3 as the answer
I did that and got stuck between -2 and -3 as the answer
