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.
If x = 101.4, y = 100.7, and xz = y3, then what is the value
[#permalink]
16 Apr 2019, 00:38
16 Apr 2019, 00:38
Expert Reply
00:00
Question Stats:
81% (01:15) correct
18% (01:20) wrong based on 38 sessions
Hide Show timer Statistics
If \(x = 10^{1.4}\), \(y = 10^{0.7}\), and \(x^z = y^3\), then what is the value of \(z\) ?
(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3
(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If x = 101.4, y = 100.7, and xz = y3, then what is the value
[#permalink]
16 Apr 2019, 08:09
16 Apr 2019, 08:09
Carcass wrote:
If \(x = 10^{1.4}\), \(y = 10^{0.7}\), and \(x^z = y^3\), then what is the value of \(z\) ?
(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3
(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3
GIVEN: \(x^z = y^3\)
When we replace \(x\) with \(10^{1.4}\), and \(y\) with \(10^{0.7}\), we get: \((10^{1.4})^z = (10^{0.7})^3\)
Simplify to get: \(10^{1.4z} = 10^{2.1}\)
This means: \(1.4z = 2.1\)
Solve: \(z = \frac{2.1}{1.4}=\frac{21}{14}=\frac{3}{2}=1.5\)
Answer: C
RELATED VIDEO
gmatclubot
If x = 101.4, y = 100.7, and xz = y3, then what is the value [#permalink]
16 Apr 2019, 08:09
Moderators:
