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Solution

The Solution To Our Monthly Puzzler:

1/6(6^(x)+6^(-x))=2

6^(x)+6^(-x)=12      Multiply by 6
(6^(x))/1 + 1/6^(x)=12      Rewrite
6^(2x)+1/6^(x)=12      find common denominator and add
6^(2x)+1=72^(x)      multiply both sides

Here's the tricky part. This equation is a hidden quadratic and could be expressed as

we're gonna treat it like a quadratic and use the quadratic formula, only with 6^x instead of x.

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