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m equal to

Expert replies
Source: — Problem Solving |

by prindaroy » Sun Aug 09, 2009 5:56 pm
4 ^ 18 = 2^36

next

2(10^35) = 5^m * 2^36

2(10^35) = 5^m * 2^35 * 2

2(10^35) = 2((5^m)*(2^35)

so 5^m * 2 ^ 35 = 10^35

10^35 also equals (2*5)^35 = 2^35 * 5^35

so m = 35
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by ST » Sun Aug 09, 2009 6:05 pm
Thank you
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