Question 1202590
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If this were a problem on a test, probably the fastest path to the answer would be to try the answer choices to see which one works.<br>
Using formal algebra, or rather just logical reasoning....<br>
{{{h(1/3)=(1/k)(1/3)^k=(1/3)^4}}}<br>
Since the right hand side is a pure exponential, the only way the left hand side can be equal to the right hand side is if k is 3:<br>
{{{h(1/3)=(1/3)(1/3)^3=(1/3)^4}}}<br>
Yes, it works.<br>
ANSWER: (A) 3<br>