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 (400)(6,000) = (240)(100^x), what is the value of x ?
[#permalink]
09 Dec 2021, 08:42
09 Dec 2021, 08:42
Expert Reply
00:00
Question Stats:
68% (01:07) correct
31% (01:20) wrong based on 22 sessions
Hide Show timer Statistics
If \((400)(6,000) = (240)(100^x)\), what is the value of x ?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
Re: If (400)(6,000) = (240)(100^x), what is the value of x ?
[#permalink]
09 Dec 2021, 09:10
09 Dec 2021, 09:10
(2^2 × 10^2)(2*3*10^3) = (2^3*3*10)(10^2x)
2^3 * 3 * 10^5 = 2^3 * 3 * 10^(1+2x)
10^5 = 10^(1+2x)
5 = 1+2x
4 = 2x
2 = x
Ans - D
Posted from my mobile device
2^3 * 3 * 10^5 = 2^3 * 3 * 10^(1+2x)
10^5 = 10^(1+2x)
5 = 1+2x
4 = 2x
2 = x
Ans - D
Posted from my mobile device
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If (400)(6,000) = (240)(100^x), what is the value of x ?
[#permalink]
09 Dec 2021, 09:49
09 Dec 2021, 09:49
Carcass wrote:
If \((400)(6,000) = (240)(100^x)\), what is the value of x ?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
Given: \((400)(6,000) = (240)(100^x)\)
Divide both sides of the equation by \(40\) to get: \((10)(6,000) = (6)(100^x)\)
Divide both sides of the equation by \(6\) to get: \((10)(1,000) = 100^x\)
Simplify the left side of the equation: \(10,000 = 100^x\)
Since we know that \(100^2 = 10,000\), the correct answer here is \(x = 2\)
Answer: D
