Expressions

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tanyajoseph: Master | Next Rank: 500 Posts; Posts: 103; Joined: Wed May 30, 2007 6:17 amFollowed by: 1 member

by tanyajoseph » Mon Sep 03, 2007 11:17 am

If 5^x - 5^(x-3) = 124(5^y) hat is y in terms of x?

x
x-6
x-3
2x+3
2x+6

Can someone provide a detailed walkthrough and solve the above pproblem?
Thank you very much for any help.

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Source: Beat The GMAT — Problem Solving | Mon Sep 03, 2007 11:17 am

jaspreet.sharma: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Wed Aug 22, 2007 4:49 pm; Thanked: 3 times

Re: Expressions

by jaspreet.sharma » Mon Sep 03, 2007 10:36 pm

tanyajoseph wrote:If 5^x - 5^(x-3) = 124(5^y) hat is y in terms of x?

x
x-6
x-3
2x+3
2x+6

Can someone provide a detailed walkthrough and solve the above pproblem?
Thank you very much for any help.

Taking 5^(x-3) as common

5^(x-3) [5^ 3 - 1 ] = 124(5^y)

124 * 5^(x-3) = 124(5^y)

Dividing by 124

5^(x-3) = 124(5^y)
Comparing exponentials

x-3 = y

Answer is C

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