Algebra, Exponents/Powers

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swerve: Legendary Member; Posts: 2545; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Wed Sep 01, 2021 7:54 am

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If $(400)(6,000)=(240)(100^x),$ what is the value of $x?$

A. 5
B. 4
C. 3
D. 2
E. 1

The OA is D

Source: GMAT Prep

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Source: Beat The GMAT — Problem Solving | Wed Sep 01, 2021 7:54 am

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Re: Algebra, Exponents/Powers

by Brent@GMATPrepNow » Wed Sep 01, 2021 1:29 pm

swerve wrote: ↑
Wed Sep 01, 2021 7:54 am
If $(400)(6,000)=(240)(100^x),$ what is the value of $x?$

A. 5
B. 4
C. 3
D. 2
E. 1

The OA is D

Source: GMAT Prep

Heres one approach:

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 [m]6[/m] 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

Brent Hanneson - Creator of GMATPrepNow.com

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