Target Test Prep's 2024 GMAT Focus Edition prep is discounted for the BTG community!

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

value of m?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Junior | Next Rank: 30 Posts
Posts: 28
Joined: Mon Oct 21, 2013 12:52 am

value of m?

by sgr21 » Sat Nov 23, 2013 2:06 am
if m and n are positive integers and (2^18)(5^m) = (20^m) , what is the value of m?
Top
User avatar
Legendary Member
Posts: 1556
Joined: Tue Aug 14, 2012 11:18 pm
Thanked: 448 times
Followed by:34 members
GMAT Score:650

by theCodeToGMAT » Sat Nov 23, 2013 2:14 am
(2^18)(5^m) = (20^m)

(2^18)(5^m) = 5^m x 4^m

4^9 x 5^m = 5^m x 4^m

m = 9
R A H U L
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 359
Joined: Wed Mar 11, 2009 4:37 am
Location: Kolkata, India
Thanked: 50 times
Followed by:2 members

by Abhishek009 » Sat Nov 23, 2013 5:23 am
sgr21 wrote:if m and n are positive integers and (2^18)(5^m) = (20^m) , what is the value of m?
(2^18)(5^m) = (20^m)

=> (4^9)(5^m) = ( 4^m )(5^m)

=> 4^9 = 4^m

Hence we can say m = 9
Abhishek
Top
Post new topic Post Reply
• Page 1 of 1