Difference between revisions of "2004 AMC 12B Problems/Problem 3"

Revision as of 19:55, 3 July 2013

If $x$ and $y$ are positive integers for which $2^x3^y=1296$ , what is the value of $x+y$ ?

$(\mathrm {A})\ 8 \qquad (\mathrm {B})\ 9 \qquad (\mathrm {C})\ 10 \qquad (\mathrm {D})\ 11 \qquad (\mathrm {E})\ 12$

$1296 = 2^4 3^4$ and $4+4=\boxed{8} \Longrightarrow \mathrm{(A)}$ .

2004 AMC 12B (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AMC 12 Problems and Solutions

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 == See Also ==
 {{AMC12 box|year=2004|ab=B|num-b=2|num-a=4}}
+{{MAA Notice}}