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value of m?

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Source: — Problem Solving |

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
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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
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